(X+2)(x-5)(x-3+2i)(x-3-2i)=0

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Solution for (X+2)(x-5)(x-3+2i)(x-3-2i)=0 equation:


Simplifying
(X + 2)(x + -5)(x + -3 + 2i)(x + -3 + -2i) = 0

Reorder the terms:
(2 + X)(x + -5)(x + -3 + 2i)(x + -3 + -2i) = 0

Reorder the terms:
(2 + X)(-5 + x)(x + -3 + 2i)(x + -3 + -2i) = 0

Reorder the terms:
(2 + X)(-5 + x)(-3 + 2i + x)(x + -3 + -2i) = 0

Reorder the terms:
(2 + X)(-5 + x)(-3 + 2i + x)(-3 + -2i + x) = 0

Multiply (2 + X) * (-5 + x)
(2(-5 + x) + X(-5 + x))(-3 + 2i + x)(-3 + -2i + x) = 0
((-5 * 2 + x * 2) + X(-5 + x))(-3 + 2i + x)(-3 + -2i + x) = 0
((-10 + 2x) + X(-5 + x))(-3 + 2i + x)(-3 + -2i + x) = 0
(-10 + 2x + (-5 * X + x * X))(-3 + 2i + x)(-3 + -2i + x) = 0
(-10 + 2x + (-5X + xX))(-3 + 2i + x)(-3 + -2i + x) = 0

Reorder the terms:
(-10 + -5X + 2x + xX)(-3 + 2i + x)(-3 + -2i + x) = 0
(-10 + -5X + 2x + xX)(-3 + 2i + x)(-3 + -2i + x) = 0

Multiply (-10 + -5X + 2x + xX) * (-3 + 2i + x)
(-10(-3 + 2i + x) + -5X * (-3 + 2i + x) + 2x * (-3 + 2i + x) + xX(-3 + 2i + x))(-3 + -2i + x) = 0
((-3 * -10 + 2i * -10 + x * -10) + -5X * (-3 + 2i + x) + 2x * (-3 + 2i + x) + xX(-3 + 2i + x))(-3 + -2i + x) = 0
((30 + -20i + -10x) + -5X * (-3 + 2i + x) + 2x * (-3 + 2i + x) + xX(-3 + 2i + x))(-3 + -2i + x) = 0
(30 + -20i + -10x + (-3 * -5X + 2i * -5X + x * -5X) + 2x * (-3 + 2i + x) + xX(-3 + 2i + x))(-3 + -2i + x) = 0
(30 + -20i + -10x + (15X + -10iX + -5xX) + 2x * (-3 + 2i + x) + xX(-3 + 2i + x))(-3 + -2i + x) = 0
(30 + -20i + -10x + 15X + -10iX + -5xX + (-3 * 2x + 2i * 2x + x * 2x) + xX(-3 + 2i + x))(-3 + -2i + x) = 0

Reorder the terms:
(30 + -20i + -10x + 15X + -10iX + -5xX + (4ix + -6x + 2x2) + xX(-3 + 2i + x))(-3 + -2i + x) = 0
(30 + -20i + -10x + 15X + -10iX + -5xX + (4ix + -6x + 2x2) + xX(-3 + 2i + x))(-3 + -2i + x) = 0
(30 + -20i + -10x + 15X + -10iX + -5xX + 4ix + -6x + 2x2 + (-3 * xX + 2i * xX + x * xX))(-3 + -2i + x) = 0

Reorder the terms:
(30 + -20i + -10x + 15X + -10iX + -5xX + 4ix + -6x + 2x2 + (2ixX + -3xX + x2X))(-3 + -2i + x) = 0
(30 + -20i + -10x + 15X + -10iX + -5xX + 4ix + -6x + 2x2 + (2ixX + -3xX + x2X))(-3 + -2i + x) = 0

Reorder the terms:
(30 + 15X + -20i + -10iX + 4ix + 2ixX + -10x + -6x + -5xX + -3xX + 2x2 + x2X)(-3 + -2i + x) = 0

Combine like terms: -10x + -6x = -16x
(30 + 15X + -20i + -10iX + 4ix + 2ixX + -16x + -5xX + -3xX + 2x2 + x2X)(-3 + -2i + x) = 0

Combine like terms: -5xX + -3xX = -8xX
(30 + 15X + -20i + -10iX + 4ix + 2ixX + -16x + -8xX + 2x2 + x2X)(-3 + -2i + x) = 0

Multiply (30 + 15X + -20i + -10iX + 4ix + 2ixX + -16x + -8xX + 2x2 + x2X) * (-3 + -2i + x)
(30(-3 + -2i + x) + 15X * (-3 + -2i + x) + -20i * (-3 + -2i + x) + -10iX * (-3 + -2i + x) + 4ix * (-3 + -2i + x) + 2ixX * (-3 + -2i + x) + -16x * (-3 + -2i + x) + -8xX * (-3 + -2i + x) + 2x2 * (-3 + -2i + x) + x2X(-3 + -2i + x)) = 0
((-3 * 30 + -2i * 30 + x * 30) + 15X * (-3 + -2i + x) + -20i * (-3 + -2i + x) + -10iX * (-3 + -2i + x) + 4ix * (-3 + -2i + x) + 2ixX * (-3 + -2i + x) + -16x * (-3 + -2i + x) + -8xX * (-3 + -2i + x) + 2x2 * (-3 + -2i + x) + x2X(-3 + -2i + x)) = 0
((-90 + -60i + 30x) + 15X * (-3 + -2i + x) + -20i * (-3 + -2i + x) + -10iX * (-3 + -2i + x) + 4ix * (-3 + -2i + x) + 2ixX * (-3 + -2i + x) + -16x * (-3 + -2i + x) + -8xX * (-3 + -2i + x) + 2x2 * (-3 + -2i + x) + x2X(-3 + -2i + x)) = 0
(-90 + -60i + 30x + (-3 * 15X + -2i * 15X + x * 15X) + -20i * (-3 + -2i + x) + -10iX * (-3 + -2i + x) + 4ix * (-3 + -2i + x) + 2ixX * (-3 + -2i + x) + -16x * (-3 + -2i + x) + -8xX * (-3 + -2i + x) + 2x2 * (-3 + -2i + x) + x2X(-3 + -2i + x)) = 0
(-90 + -60i + 30x + (-45X + -30iX + 15xX) + -20i * (-3 + -2i + x) + -10iX * (-3 + -2i + x) + 4ix * (-3 + -2i + x) + 2ixX * (-3 + -2i + x) + -16x * (-3 + -2i + x) + -8xX * (-3 + -2i + x) + 2x2 * (-3 + -2i + x) + x2X(-3 + -2i + x)) = 0
(-90 + -60i + 30x + -45X + -30iX + 15xX + (-3 * -20i + -2i * -20i + x * -20i) + -10iX * (-3 + -2i + x) + 4ix * (-3 + -2i + x) + 2ixX * (-3 + -2i + x) + -16x * (-3 + -2i + x) + -8xX * (-3 + -2i + x) + 2x2 * (-3 + -2i + x) + x2X(-3 + -2i + x)) = 0

Reorder the terms:
(-90 + -60i + 30x + -45X + -30iX + 15xX + (60i + -20ix + 40i2) + -10iX * (-3 + -2i + x) + 4ix * (-3 + -2i + x) + 2ixX * (-3 + -2i + x) + -16x * (-3 + -2i + x) + -8xX * (-3 + -2i + x) + 2x2 * (-3 + -2i + x) + x2X(-3 + -2i + x)) = 0
(-90 + -60i + 30x + -45X + -30iX + 15xX + (60i + -20ix + 40i2) + -10iX * (-3 + -2i + x) + 4ix * (-3 + -2i + x) + 2ixX * (-3 + -2i + x) + -16x * (-3 + -2i + x) + -8xX * (-3 + -2i + x) + 2x2 * (-3 + -2i + x) + x2X(-3 + -2i + x)) = 0
(-90 + -60i + 30x + -45X + -30iX + 15xX + 60i + -20ix + 40i2 + (-3 * -10iX + -2i * -10iX + x * -10iX) + 4ix * (-3 + -2i + x) + 2ixX * (-3 + -2i + x) + -16x * (-3 + -2i + x) + -8xX * (-3 + -2i + x) + 2x2 * (-3 + -2i + x) + x2X(-3 + -2i + x)) = 0

Reorder the terms:
(-90 + -60i + 30x + -45X + -30iX + 15xX + 60i + -20ix + 40i2 + (30iX + -10ixX + 20i2X) + 4ix * (-3 + -2i + x) + 2ixX * (-3 + -2i + x) + -16x * (-3 + -2i + x) + -8xX * (-3 + -2i + x) + 2x2 * (-3 + -2i + x) + x2X(-3 + -2i + x)) = 0
(-90 + -60i + 30x + -45X + -30iX + 15xX + 60i + -20ix + 40i2 + (30iX + -10ixX + 20i2X) + 4ix * (-3 + -2i + x) + 2ixX * (-3 + -2i + x) + -16x * (-3 + -2i + x) + -8xX * (-3 + -2i + x) + 2x2 * (-3 + -2i + x) + x2X(-3 + -2i + x)) = 0
(-90 + -60i + 30x + -45X + -30iX + 15xX + 60i + -20ix + 40i2 + 30iX + -10ixX + 20i2X + (-3 * 4ix + -2i * 4ix + x * 4ix) + 2ixX * (-3 + -2i + x) + -16x * (-3 + -2i + x) + -8xX * (-3 + -2i + x) + 2x2 * (-3 + -2i + x) + x2X(-3 + -2i + x)) = 0

Reorder the terms:
(-90 + -60i + 30x + -45X + -30iX + 15xX + 60i + -20ix + 40i2 + 30iX + -10ixX + 20i2X + (-12ix + 4ix2 + -8i2x) + 2ixX * (-3 + -2i + x) + -16x * (-3 + -2i + x) + -8xX * (-3 + -2i + x) + 2x2 * (-3 + -2i + x) + x2X(-3 + -2i + x)) = 0
(-90 + -60i + 30x + -45X + -30iX + 15xX + 60i + -20ix + 40i2 + 30iX + -10ixX + 20i2X + (-12ix + 4ix2 + -8i2x) + 2ixX * (-3 + -2i + x) + -16x * (-3 + -2i + x) + -8xX * (-3 + -2i + x) + 2x2 * (-3 + -2i + x) + x2X(-3 + -2i + x)) = 0
(-90 + -60i + 30x + -45X + -30iX + 15xX + 60i + -20ix + 40i2 + 30iX + -10ixX + 20i2X + -12ix + 4ix2 + -8i2x + (-3 * 2ixX + -2i * 2ixX + x * 2ixX) + -16x * (-3 + -2i + x) + -8xX * (-3 + -2i + x) + 2x2 * (-3 + -2i + x) + x2X(-3 + -2i + x)) = 0

Reorder the terms:
(-90 + -60i + 30x + -45X + -30iX + 15xX + 60i + -20ix + 40i2 + 30iX + -10ixX + 20i2X + -12ix + 4ix2 + -8i2x + (-6ixX + 2ix2X + -4i2xX) + -16x * (-3 + -2i + x) + -8xX * (-3 + -2i + x) + 2x2 * (-3 + -2i + x) + x2X(-3 + -2i + x)) = 0
(-90 + -60i + 30x + -45X + -30iX + 15xX + 60i + -20ix + 40i2 + 30iX + -10ixX + 20i2X + -12ix + 4ix2 + -8i2x + (-6ixX + 2ix2X + -4i2xX) + -16x * (-3 + -2i + x) + -8xX * (-3 + -2i + x) + 2x2 * (-3 + -2i + x) + x2X(-3 + -2i + x)) = 0
(-90 + -60i + 30x + -45X + -30iX + 15xX + 60i + -20ix + 40i2 + 30iX + -10ixX + 20i2X + -12ix + 4ix2 + -8i2x + -6ixX + 2ix2X + -4i2xX + (-3 * -16x + -2i * -16x + x * -16x) + -8xX * (-3 + -2i + x) + 2x2 * (-3 + -2i + x) + x2X(-3 + -2i + x)) = 0

Reorder the terms:
(-90 + -60i + 30x + -45X + -30iX + 15xX + 60i + -20ix + 40i2 + 30iX + -10ixX + 20i2X + -12ix + 4ix2 + -8i2x + -6ixX + 2ix2X + -4i2xX + (32ix + 48x + -16x2) + -8xX * (-3 + -2i + x) + 2x2 * (-3 + -2i + x) + x2X(-3 + -2i + x)) = 0
(-90 + -60i + 30x + -45X + -30iX + 15xX + 60i + -20ix + 40i2 + 30iX + -10ixX + 20i2X + -12ix + 4ix2 + -8i2x + -6ixX + 2ix2X + -4i2xX + (32ix + 48x + -16x2) + -8xX * (-3 + -2i + x) + 2x2 * (-3 + -2i + x) + x2X(-3 + -2i + x)) = 0
(-90 + -60i + 30x + -45X + -30iX + 15xX + 60i + -20ix + 40i2 + 30iX + -10ixX + 20i2X + -12ix + 4ix2 + -8i2x + -6ixX + 2ix2X + -4i2xX + 32ix + 48x + -16x2 + (-3 * -8xX + -2i * -8xX + x * -8xX) + 2x2 * (-3 + -2i + x) + x2X(-3 + -2i + x)) = 0

Reorder the terms:
(-90 + -60i + 30x + -45X + -30iX + 15xX + 60i + -20ix + 40i2 + 30iX + -10ixX + 20i2X + -12ix + 4ix2 + -8i2x + -6ixX + 2ix2X + -4i2xX + 32ix + 48x + -16x2 + (16ixX + 24xX + -8x2X) + 2x2 * (-3 + -2i + x) + x2X(-3 + -2i + x)) = 0
(-90 + -60i + 30x + -45X + -30iX + 15xX + 60i + -20ix + 40i2 + 30iX + -10ixX + 20i2X + -12ix + 4ix2 + -8i2x + -6ixX + 2ix2X + -4i2xX + 32ix + 48x + -16x2 + (16ixX + 24xX + -8x2X) + 2x2 * (-3 + -2i + x) + x2X(-3 + -2i + x)) = 0
(-90 + -60i + 30x + -45X + -30iX + 15xX + 60i + -20ix + 40i2 + 30iX + -10ixX + 20i2X + -12ix + 4ix2 + -8i2x + -6ixX + 2ix2X + -4i2xX + 32ix + 48x + -16x2 + 16ixX + 24xX + -8x2X + (-3 * 2x2 + -2i * 2x2 + x * 2x2) + x2X(-3 + -2i + x)) = 0

Reorder the terms:
(-90 + -60i + 30x + -45X + -30iX + 15xX + 60i + -20ix + 40i2 + 30iX + -10ixX + 20i2X + -12ix + 4ix2 + -8i2x + -6ixX + 2ix2X + -4i2xX + 32ix + 48x + -16x2 + 16ixX + 24xX + -8x2X + (-4ix2 + -6x2 + 2x3) + x2X(-3 + -2i + x)) = 0
(-90 + -60i + 30x + -45X + -30iX + 15xX + 60i + -20ix + 40i2 + 30iX + -10ixX + 20i2X + -12ix + 4ix2 + -8i2x + -6ixX + 2ix2X + -4i2xX + 32ix + 48x + -16x2 + 16ixX + 24xX + -8x2X + (-4ix2 + -6x2 + 2x3) + x2X(-3 + -2i + x)) = 0
(-90 + -60i + 30x + -45X + -30iX + 15xX + 60i + -20ix + 40i2 + 30iX + -10ixX + 20i2X + -12ix + 4ix2 + -8i2x + -6ixX + 2ix2X + -4i2xX + 32ix + 48x + -16x2 + 16ixX + 24xX + -8x2X + -4ix2 + -6x2 + 2x3 + (-3 * x2X + -2i * x2X + x * x2X)) = 0

Reorder the terms:
(-90 + -60i + 30x + -45X + -30iX + 15xX + 60i + -20ix + 40i2 + 30iX + -10ixX + 20i2X + -12ix + 4ix2 + -8i2x + -6ixX + 2ix2X + -4i2xX + 32ix + 48x + -16x2 + 16ixX + 24xX + -8x2X + -4ix2 + -6x2 + 2x3 + (-2ix2X + -3x2X + x3X)) = 0
(-90 + -60i + 30x + -45X + -30iX + 15xX + 60i + -20ix + 40i2 + 30iX + -10ixX + 20i2X + -12ix + 4ix2 + -8i2x + -6ixX + 2ix2X + -4i2xX + 32ix + 48x + -16x2 + 16ixX + 24xX + -8x2X + -4ix2 + -6x2 + 2x3 + (-2ix2X + -3x2X + x3X)) = 0

Reorder the terms:
(-90 + -45X + -60i + 60i + -30iX + 30iX + -20ix + -12ix + 32ix + -10ixX + -6ixX + 16ixX + 4ix2 + -4ix2 + 2ix2X + -2ix2X + 40i2 + 20i2X + -8i2x + -4i2xX + 30x + 48x + 15xX + 24xX + -16x2 + -6x2 + -8x2X + -3x2X + 2x3 + x3X) = 0

Combine like terms: -60i + 60i = 0
(-90 + -45X + 0 + -30iX + 30iX + -20ix + -12ix + 32ix + -10ixX + -6ixX + 16ixX + 4ix2 + -4ix2 + 2ix2X + -2ix2X + 40i2 + 20i2X + -8i2x + -4i2xX + 30x + 48x + 15xX + 24xX + -16x2 + -6x2 + -8x2X + -3x2X + 2x3 + x3X) = 0
(-90 + -45X + -30iX + 30iX + -20ix + -12ix + 32ix + -10ixX + -6ixX + 16ixX + 4ix2 + -4ix2 + 2ix2X + -2ix2X + 40i2 + 20i2X + -8i2x + -4i2xX + 30x + 48x + 15xX + 24xX + -16x2 + -6x2 + -8x2X + -3x2X + 2x3 + x3X) = 0

Combine like terms: -30iX + 30iX = 0
(-90 + -45X + 0 + -20ix + -12ix + 32ix + -10ixX + -6ixX + 16ixX + 4ix2 + -4ix2 + 2ix2X + -2ix2X + 40i2 + 20i2X + -8i2x + -4i2xX + 30x + 48x + 15xX + 24xX + -16x2 + -6x2 + -8x2X + -3x2X + 2x3 + x3X) = 0
(-90 + -45X + -20ix + -12ix + 32ix + -10ixX + -6ixX + 16ixX + 4ix2 + -4ix2 + 2ix2X + -2ix2X + 40i2 + 20i2X + -8i2x + -4i2xX + 30x + 48x + 15xX + 24xX + -16x2 + -6x2 + -8x2X + -3x2X + 2x3 + x3X) = 0

Combine like terms: -20ix + -12ix = -32ix
(-90 + -45X + -32ix + 32ix + -10ixX + -6ixX + 16ixX + 4ix2 + -4ix2 + 2ix2X + -2ix2X + 40i2 + 20i2X + -8i2x + -4i2xX + 30x + 48x + 15xX + 24xX + -16x2 + -6x2 + -8x2X + -3x2X + 2x3 + x3X) = 0

Combine like terms: -32ix + 32ix = 0
(-90 + -45X + 0 + -10ixX + -6ixX + 16ixX + 4ix2 + -4ix2 + 2ix2X + -2ix2X + 40i2 + 20i2X + -8i2x + -4i2xX + 30x + 48x + 15xX + 24xX + -16x2 + -6x2 + -8x2X + -3x2X + 2x3 + x3X) = 0
(-90 + -45X + -10ixX + -6ixX + 16ixX + 4ix2 + -4ix2 + 2ix2X + -2ix2X + 40i2 + 20i2X + -8i2x + -4i2xX + 30x + 48x + 15xX + 24xX + -16x2 + -6x2 + -8x2X + -3x2X + 2x3 + x3X) = 0

Combine like terms: -10ixX + -6ixX = -16ixX
(-90 + -45X + -16ixX + 16ixX + 4ix2 + -4ix2 + 2ix2X + -2ix2X + 40i2 + 20i2X + -8i2x + -4i2xX + 30x + 48x + 15xX + 24xX + -16x2 + -6x2 + -8x2X + -3x2X + 2x3 + x3X) = 0

Combine like terms: -16ixX + 16ixX = 0
(-90 + -45X + 0 + 4ix2 + -4ix2 + 2ix2X + -2ix2X + 40i2 + 20i2X + -8i2x + -4i2xX + 30x + 48x + 15xX + 24xX + -16x2 + -6x2 + -8x2X + -3x2X + 2x3 + x3X) = 0
(-90 + -45X + 4ix2 + -4ix2 + 2ix2X + -2ix2X + 40i2 + 20i2X + -8i2x + -4i2xX + 30x + 48x + 15xX + 24xX + -16x2 + -6x2 + -8x2X + -3x2X + 2x3 + x3X) = 0

Combine like terms: 4ix2 + -4ix2 = 0
(-90 + -45X + 0 + 2ix2X + -2ix2X + 40i2 + 20i2X + -8i2x + -4i2xX + 30x + 48x + 15xX + 24xX + -16x2 + -6x2 + -8x2X + -3x2X + 2x3 + x3X) = 0
(-90 + -45X + 2ix2X + -2ix2X + 40i2 + 20i2X + -8i2x + -4i2xX + 30x + 48x + 15xX + 24xX + -16x2 + -6x2 + -8x2X + -3x2X + 2x3 + x3X) = 0

Combine like terms: 2ix2X + -2ix2X = 0
(-90 + -45X + 0 + 40i2 + 20i2X + -8i2x + -4i2xX + 30x + 48x + 15xX + 24xX + -16x2 + -6x2 + -8x2X + -3x2X + 2x3 + x3X) = 0
(-90 + -45X + 40i2 + 20i2X + -8i2x + -4i2xX + 30x + 48x + 15xX + 24xX + -16x2 + -6x2 + -8x2X + -3x2X + 2x3 + x3X) = 0

Combine like terms: 30x + 48x = 78x
(-90 + -45X + 40i2 + 20i2X + -8i2x + -4i2xX + 78x + 15xX + 24xX + -16x2 + -6x2 + -8x2X + -3x2X + 2x3 + x3X) = 0

Combine like terms: 15xX + 24xX = 39xX
(-90 + -45X + 40i2 + 20i2X + -8i2x + -4i2xX + 78x + 39xX + -16x2 + -6x2 + -8x2X + -3x2X + 2x3 + x3X) = 0

Combine like terms: -16x2 + -6x2 = -22x2
(-90 + -45X + 40i2 + 20i2X + -8i2x + -4i2xX + 78x + 39xX + -22x2 + -8x2X + -3x2X + 2x3 + x3X) = 0

Combine like terms: -8x2X + -3x2X = -11x2X
(-90 + -45X + 40i2 + 20i2X + -8i2x + -4i2xX + 78x + 39xX + -22x2 + -11x2X + 2x3 + x3X) = 0

Solving
-90 + -45X + 40i2 + 20i2X + -8i2x + -4i2xX + 78x + 39xX + -22x2 + -11x2X + 2x3 + x3X = 0

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '90' to each side of the equation.
-90 + -45X + 40i2 + 20i2X + -8i2x + -4i2xX + 78x + 39xX + -22x2 + -11x2X + 2x3 + 90 + x3X = 0 + 90

Reorder the terms:
-90 + 90 + -45X + 40i2 + 20i2X + -8i2x + -4i2xX + 78x + 39xX + -22x2 + -11x2X + 2x3 + x3X = 0 + 90

Combine like terms: -90 + 90 = 0
0 + -45X + 40i2 + 20i2X + -8i2x + -4i2xX + 78x + 39xX + -22x2 + -11x2X + 2x3 + x3X = 0 + 90
-45X + 40i2 + 20i2X + -8i2x + -4i2xX + 78x + 39xX + -22x2 + -11x2X + 2x3 + x3X = 0 + 90

Combine like terms: 0 + 90 = 90
-45X + 40i2 + 20i2X + -8i2x + -4i2xX + 78x + 39xX + -22x2 + -11x2X + 2x3 + x3X = 90

Add '-40i2' to each side of the equation.
-45X + 40i2 + 20i2X + -8i2x + -4i2xX + 78x + 39xX + -22x2 + -11x2X + 2x3 + -40i2 + x3X = 90 + -40i2

Reorder the terms:
-45X + 40i2 + -40i2 + 20i2X + -8i2x + -4i2xX + 78x + 39xX + -22x2 + -11x2X + 2x3 + x3X = 90 + -40i2

Combine like terms: 40i2 + -40i2 = 0
-45X + 0 + 20i2X + -8i2x + -4i2xX + 78x + 39xX + -22x2 + -11x2X + 2x3 + x3X = 90 + -40i2
-45X + 20i2X + -8i2x + -4i2xX + 78x + 39xX + -22x2 + -11x2X + 2x3 + x3X = 90 + -40i2

Add '8i2x' to each side of the equation.
-45X + 20i2X + -8i2x + -4i2xX + 78x + 39xX + -22x2 + -11x2X + 2x3 + 8i2x + x3X = 90 + -40i2 + 8i2x

Reorder the terms:
-45X + 20i2X + -8i2x + 8i2x + -4i2xX + 78x + 39xX + -22x2 + -11x2X + 2x3 + x3X = 90 + -40i2 + 8i2x

Combine like terms: -8i2x + 8i2x = 0
-45X + 20i2X + 0 + -4i2xX + 78x + 39xX + -22x2 + -11x2X + 2x3 + x3X = 90 + -40i2 + 8i2x
-45X + 20i2X + -4i2xX + 78x + 39xX + -22x2 + -11x2X + 2x3 + x3X = 90 + -40i2 + 8i2x

Add '-78x' to each side of the equation.
-45X + 20i2X + -4i2xX + 78x + 39xX + -22x2 + -11x2X + 2x3 + -78x + x3X = 90 + -40i2 + 8i2x + -78x

Reorder the terms:
-45X + 20i2X + -4i2xX + 78x + -78x + 39xX + -22x2 + -11x2X + 2x3 + x3X = 90 + -40i2 + 8i2x + -78x

Combine like terms: 78x + -78x = 0
-45X + 20i2X + -4i2xX + 0 + 39xX + -22x2 + -11x2X + 2x3 + x3X = 90 + -40i2 + 8i2x + -78x
-45X + 20i2X + -4i2xX + 39xX + -22x2 + -11x2X + 2x3 + x3X = 90 + -40i2 + 8i2x + -78x

Add '22x2' to each side of the equation.
-45X + 20i2X + -4i2xX + 39xX + -22x2 + -11x2X + 2x3 + 22x2 + x3X = 90 + -40i2 + 8i2x + -78x + 22x2

Reorder the terms:
-45X + 20i2X + -4i2xX + 39xX + -22x2 + 22x2 + -11x2X + 2x3 + x3X = 90 + -40i2 + 8i2x + -78x + 22x2

Combine like terms: -22x2 + 22x2 = 0
-45X + 20i2X + -4i2xX + 39xX + 0 + -11x2X + 2x3 + x3X = 90 + -40i2 + 8i2x + -78x + 22x2
-45X + 20i2X + -4i2xX + 39xX + -11x2X + 2x3 + x3X = 90 + -40i2 + 8i2x + -78x + 22x2

Add '-2x3' to each side of the equation.
-45X + 20i2X + -4i2xX + 39xX + -11x2X + 2x3 + -2x3 + x3X = 90 + -40i2 + 8i2x + -78x + 22x2 + -2x3

Combine like terms: 2x3 + -2x3 = 0
-45X + 20i2X + -4i2xX + 39xX + -11x2X + 0 + x3X = 90 + -40i2 + 8i2x + -78x + 22x2 + -2x3
-45X + 20i2X + -4i2xX + 39xX + -11x2X + x3X = 90 + -40i2 + 8i2x + -78x + 22x2 + -2x3

Reorder the terms:
-90 + -45X + 40i2 + 20i2X + -8i2x + -4i2xX + 78x + 39xX + -22x2 + -11x2X + 2x3 + x3X = 90 + -40i2 + 8i2x + -78x + 22x2 + -2x3 + -90 + 40i2 + -8i2x + 78x + -22x2 + 2x3

Reorder the terms:
-90 + -45X + 40i2 + 20i2X + -8i2x + -4i2xX + 78x + 39xX + -22x2 + -11x2X + 2x3 + x3X = 90 + -90 + -40i2 + 40i2 + 8i2x + -8i2x + -78x + 78x + 22x2 + -22x2 + -2x3 + 2x3

Combine like terms: 90 + -90 = 0
-90 + -45X + 40i2 + 20i2X + -8i2x + -4i2xX + 78x + 39xX + -22x2 + -11x2X + 2x3 + x3X = 0 + -40i2 + 40i2 + 8i2x + -8i2x + -78x + 78x + 22x2 + -22x2 + -2x3 + 2x3
-90 + -45X + 40i2 + 20i2X + -8i2x + -4i2xX + 78x + 39xX + -22x2 + -11x2X + 2x3 + x3X = -40i2 + 40i2 + 8i2x + -8i2x + -78x + 78x + 22x2 + -22x2 + -2x3 + 2x3

Combine like terms: -40i2 + 40i2 = 0
-90 + -45X + 40i2 + 20i2X + -8i2x + -4i2xX + 78x + 39xX + -22x2 + -11x2X + 2x3 + x3X = 0 + 8i2x + -8i2x + -78x + 78x + 22x2 + -22x2 + -2x3 + 2x3
-90 + -45X + 40i2 + 20i2X + -8i2x + -4i2xX + 78x + 39xX + -22x2 + -11x2X + 2x3 + x3X = 8i2x + -8i2x + -78x + 78x + 22x2 + -22x2 + -2x3 + 2x3

Combine like terms: 8i2x + -8i2x = 0
-90 + -45X + 40i2 + 20i2X + -8i2x + -4i2xX + 78x + 39xX + -22x2 + -11x2X + 2x3 + x3X = 0 + -78x + 78x + 22x2 + -22x2 + -2x3 + 2x3
-90 + -45X + 40i2 + 20i2X + -8i2x + -4i2xX + 78x + 39xX + -22x2 + -11x2X + 2x3 + x3X = -78x + 78x + 22x2 + -22x2 + -2x3 + 2x3

Combine like terms: -78x + 78x = 0
-90 + -45X + 40i2 + 20i2X + -8i2x + -4i2xX + 78x + 39xX + -22x2 + -11x2X + 2x3 + x3X = 0 + 22x2 + -22x2 + -2x3 + 2x3
-90 + -45X + 40i2 + 20i2X + -8i2x + -4i2xX + 78x + 39xX + -22x2 + -11x2X + 2x3 + x3X = 22x2 + -22x2 + -2x3 + 2x3

Combine like terms: 22x2 + -22x2 = 0
-90 + -45X + 40i2 + 20i2X + -8i2x + -4i2xX + 78x + 39xX + -22x2 + -11x2X + 2x3 + x3X = 0 + -2x3 + 2x3
-90 + -45X + 40i2 + 20i2X + -8i2x + -4i2xX + 78x + 39xX + -22x2 + -11x2X + 2x3 + x3X = -2x3 + 2x3

Combine like terms: -2x3 + 2x3 = 0
-90 + -45X + 40i2 + 20i2X + -8i2x + -4i2xX + 78x + 39xX + -22x2 + -11x2X + 2x3 + x3X = 0

The solution to this equation could not be determined.

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