(x+5)(x-4+3i)(x-4-3i)=equation

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Solution for (x+5)(x-4+3i)(x-4-3i)=equation equation: 


Simplifying
(x + 5)(x + -4 + 3i)(x + -4 + -3i) = equation

Reorder the terms:
(5 + x)(x + -4 + 3i)(x + -4 + -3i) = equation

Reorder the terms:
(5 + x)(-4 + 3i + x)(x + -4 + -3i) = equation

Reorder the terms:
(5 + x)(-4 + 3i + x)(-4 + -3i + x) = equation

Multiply (5 + x) * (-4 + 3i + x)
(5(-4 + 3i + x) + x(-4 + 3i + x))(-4 + -3i + x) = equation
((-4 * 5 + 3i * 5 + x * 5) + x(-4 + 3i + x))(-4 + -3i + x) = equation
((-20 + 15i + 5x) + x(-4 + 3i + x))(-4 + -3i + x) = equation
(-20 + 15i + 5x + (-4 * x + 3i * x + x * x))(-4 + -3i + x) = equation

Reorder the terms:
(-20 + 15i + 5x + (3ix + -4x + x2))(-4 + -3i + x) = equation
(-20 + 15i + 5x + (3ix + -4x + x2))(-4 + -3i + x) = equation

Reorder the terms:
(-20 + 15i + 3ix + 5x + -4x + x2)(-4 + -3i + x) = equation

Combine like terms: 5x + -4x = 1x
(-20 + 15i + 3ix + 1x + x2)(-4 + -3i + x) = equation

Multiply (-20 + 15i + 3ix + 1x + x2) * (-4 + -3i + x)
(-20(-4 + -3i + x) + 15i * (-4 + -3i + x) + 3ix * (-4 + -3i + x) + 1x * (-4 + -3i + x) + x2(-4 + -3i + x)) = equation
((-4 * -20 + -3i * -20 + x * -20) + 15i * (-4 + -3i + x) + 3ix * (-4 + -3i + x) + 1x * (-4 + -3i + x) + x2(-4 + -3i + x)) = equation
((80 + 60i + -20x) + 15i * (-4 + -3i + x) + 3ix * (-4 + -3i + x) + 1x * (-4 + -3i + x) + x2(-4 + -3i + x)) = equation
(80 + 60i + -20x + (-4 * 15i + -3i * 15i + x * 15i) + 3ix * (-4 + -3i + x) + 1x * (-4 + -3i + x) + x2(-4 + -3i + x)) = equation

Reorder the terms:
(80 + 60i + -20x + (-60i + 15ix + -45i2) + 3ix * (-4 + -3i + x) + 1x * (-4 + -3i + x) + x2(-4 + -3i + x)) = equation
(80 + 60i + -20x + (-60i + 15ix + -45i2) + 3ix * (-4 + -3i + x) + 1x * (-4 + -3i + x) + x2(-4 + -3i + x)) = equation
(80 + 60i + -20x + -60i + 15ix + -45i2 + (-4 * 3ix + -3i * 3ix + x * 3ix) + 1x * (-4 + -3i + x) + x2(-4 + -3i + x)) = equation

Reorder the terms:
(80 + 60i + -20x + -60i + 15ix + -45i2 + (-12ix + 3ix2 + -9i2x) + 1x * (-4 + -3i + x) + x2(-4 + -3i + x)) = equation
(80 + 60i + -20x + -60i + 15ix + -45i2 + (-12ix + 3ix2 + -9i2x) + 1x * (-4 + -3i + x) + x2(-4 + -3i + x)) = equation
(80 + 60i + -20x + -60i + 15ix + -45i2 + -12ix + 3ix2 + -9i2x + (-4 * 1x + -3i * 1x + x * 1x) + x2(-4 + -3i + x)) = equation

Reorder the terms:
(80 + 60i + -20x + -60i + 15ix + -45i2 + -12ix + 3ix2 + -9i2x + (-3ix + -4x + 1x2) + x2(-4 + -3i + x)) = equation
(80 + 60i + -20x + -60i + 15ix + -45i2 + -12ix + 3ix2 + -9i2x + (-3ix + -4x + 1x2) + x2(-4 + -3i + x)) = equation
(80 + 60i + -20x + -60i + 15ix + -45i2 + -12ix + 3ix2 + -9i2x + -3ix + -4x + 1x2 + (-4 * x2 + -3i * x2 + x * x2)) = equation

Reorder the terms:
(80 + 60i + -20x + -60i + 15ix + -45i2 + -12ix + 3ix2 + -9i2x + -3ix + -4x + 1x2 + (-3ix2 + -4x2 + x3)) = equation
(80 + 60i + -20x + -60i + 15ix + -45i2 + -12ix + 3ix2 + -9i2x + -3ix + -4x + 1x2 + (-3ix2 + -4x2 + x3)) = equation

Reorder the terms:
(80 + 60i + -60i + 15ix + -12ix + -3ix + 3ix2 + -3ix2 + -45i2 + -9i2x + -20x + -4x + 1x2 + -4x2 + x3) = equation

Combine like terms: 60i + -60i = 0
(80 + 0 + 15ix + -12ix + -3ix + 3ix2 + -3ix2 + -45i2 + -9i2x + -20x + -4x + 1x2 + -4x2 + x3) = equation
(80 + 15ix + -12ix + -3ix + 3ix2 + -3ix2 + -45i2 + -9i2x + -20x + -4x + 1x2 + -4x2 + x3) = equation

Combine like terms: 15ix + -12ix = 3ix
(80 + 3ix + -3ix + 3ix2 + -3ix2 + -45i2 + -9i2x + -20x + -4x + 1x2 + -4x2 + x3) = equation

Combine like terms: 3ix + -3ix = 0
(80 + 0 + 3ix2 + -3ix2 + -45i2 + -9i2x + -20x + -4x + 1x2 + -4x2 + x3) = equation
(80 + 3ix2 + -3ix2 + -45i2 + -9i2x + -20x + -4x + 1x2 + -4x2 + x3) = equation

Combine like terms: 3ix2 + -3ix2 = 0
(80 + 0 + -45i2 + -9i2x + -20x + -4x + 1x2 + -4x2 + x3) = equation
(80 + -45i2 + -9i2x + -20x + -4x + 1x2 + -4x2 + x3) = equation

Combine like terms: -20x + -4x = -24x
(80 + -45i2 + -9i2x + -24x + 1x2 + -4x2 + x3) = equation

Combine like terms: 1x2 + -4x2 = -3x2
(80 + -45i2 + -9i2x + -24x + -3x2 + x3) = equation

Solving
80 + -45i2 + -9i2x + -24x + -3x2 + x3 = aeinoqtu

Solving for variable 'i'.

Reorder the terms:
80 + -1aeinoqtu + -45i2 + -9i2x + -24x + -3x2 + x3 = aeinoqtu + -1aeinoqtu

Combine like terms: aeinoqtu + -1aeinoqtu = 0
80 + -1aeinoqtu + -45i2 + -9i2x + -24x + -3x2 + x3 = 0

The solution to this equation could not be determined.

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