(x-6)(x-5+2i)(x-5-2i)=-636

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Solution for (x-6)(x-5+2i)(x-5-2i)=-636 equation: 


Simplifying
(x + -6)(x + -5 + 2i)(x + -5 + -2i) = -636

Reorder the terms:
(-6 + x)(x + -5 + 2i)(x + -5 + -2i) = -636

Reorder the terms:
(-6 + x)(-5 + 2i + x)(x + -5 + -2i) = -636

Reorder the terms:
(-6 + x)(-5 + 2i + x)(-5 + -2i + x) = -636

Multiply (-6 + x) * (-5 + 2i + x)
(-6(-5 + 2i + x) + x(-5 + 2i + x))(-5 + -2i + x) = -636
((-5 * -6 + 2i * -6 + x * -6) + x(-5 + 2i + x))(-5 + -2i + x) = -636
((30 + -12i + -6x) + x(-5 + 2i + x))(-5 + -2i + x) = -636
(30 + -12i + -6x + (-5 * x + 2i * x + x * x))(-5 + -2i + x) = -636

Reorder the terms:
(30 + -12i + -6x + (2ix + -5x + x2))(-5 + -2i + x) = -636
(30 + -12i + -6x + (2ix + -5x + x2))(-5 + -2i + x) = -636

Reorder the terms:
(30 + -12i + 2ix + -6x + -5x + x2)(-5 + -2i + x) = -636

Combine like terms: -6x + -5x = -11x
(30 + -12i + 2ix + -11x + x2)(-5 + -2i + x) = -636

Multiply (30 + -12i + 2ix + -11x + x2) * (-5 + -2i + x)
(30(-5 + -2i + x) + -12i * (-5 + -2i + x) + 2ix * (-5 + -2i + x) + -11x * (-5 + -2i + x) + x2(-5 + -2i + x)) = -636
((-5 * 30 + -2i * 30 + x * 30) + -12i * (-5 + -2i + x) + 2ix * (-5 + -2i + x) + -11x * (-5 + -2i + x) + x2(-5 + -2i + x)) = -636
((-150 + -60i + 30x) + -12i * (-5 + -2i + x) + 2ix * (-5 + -2i + x) + -11x * (-5 + -2i + x) + x2(-5 + -2i + x)) = -636
(-150 + -60i + 30x + (-5 * -12i + -2i * -12i + x * -12i) + 2ix * (-5 + -2i + x) + -11x * (-5 + -2i + x) + x2(-5 + -2i + x)) = -636

Reorder the terms:
(-150 + -60i + 30x + (60i + -12ix + 24i2) + 2ix * (-5 + -2i + x) + -11x * (-5 + -2i + x) + x2(-5 + -2i + x)) = -636
(-150 + -60i + 30x + (60i + -12ix + 24i2) + 2ix * (-5 + -2i + x) + -11x * (-5 + -2i + x) + x2(-5 + -2i + x)) = -636
(-150 + -60i + 30x + 60i + -12ix + 24i2 + (-5 * 2ix + -2i * 2ix + x * 2ix) + -11x * (-5 + -2i + x) + x2(-5 + -2i + x)) = -636

Reorder the terms:
(-150 + -60i + 30x + 60i + -12ix + 24i2 + (-10ix + 2ix2 + -4i2x) + -11x * (-5 + -2i + x) + x2(-5 + -2i + x)) = -636
(-150 + -60i + 30x + 60i + -12ix + 24i2 + (-10ix + 2ix2 + -4i2x) + -11x * (-5 + -2i + x) + x2(-5 + -2i + x)) = -636
(-150 + -60i + 30x + 60i + -12ix + 24i2 + -10ix + 2ix2 + -4i2x + (-5 * -11x + -2i * -11x + x * -11x) + x2(-5 + -2i + x)) = -636

Reorder the terms:
(-150 + -60i + 30x + 60i + -12ix + 24i2 + -10ix + 2ix2 + -4i2x + (22ix + 55x + -11x2) + x2(-5 + -2i + x)) = -636
(-150 + -60i + 30x + 60i + -12ix + 24i2 + -10ix + 2ix2 + -4i2x + (22ix + 55x + -11x2) + x2(-5 + -2i + x)) = -636
(-150 + -60i + 30x + 60i + -12ix + 24i2 + -10ix + 2ix2 + -4i2x + 22ix + 55x + -11x2 + (-5 * x2 + -2i * x2 + x * x2)) = -636

Reorder the terms:
(-150 + -60i + 30x + 60i + -12ix + 24i2 + -10ix + 2ix2 + -4i2x + 22ix + 55x + -11x2 + (-2ix2 + -5x2 + x3)) = -636
(-150 + -60i + 30x + 60i + -12ix + 24i2 + -10ix + 2ix2 + -4i2x + 22ix + 55x + -11x2 + (-2ix2 + -5x2 + x3)) = -636

Reorder the terms:
(-150 + -60i + 60i + -12ix + -10ix + 22ix + 2ix2 + -2ix2 + 24i2 + -4i2x + 30x + 55x + -11x2 + -5x2 + x3) = -636

Combine like terms: -60i + 60i = 0
(-150 + 0 + -12ix + -10ix + 22ix + 2ix2 + -2ix2 + 24i2 + -4i2x + 30x + 55x + -11x2 + -5x2 + x3) = -636
(-150 + -12ix + -10ix + 22ix + 2ix2 + -2ix2 + 24i2 + -4i2x + 30x + 55x + -11x2 + -5x2 + x3) = -636

Combine like terms: -12ix + -10ix = -22ix
(-150 + -22ix + 22ix + 2ix2 + -2ix2 + 24i2 + -4i2x + 30x + 55x + -11x2 + -5x2 + x3) = -636

Combine like terms: -22ix + 22ix = 0
(-150 + 0 + 2ix2 + -2ix2 + 24i2 + -4i2x + 30x + 55x + -11x2 + -5x2 + x3) = -636
(-150 + 2ix2 + -2ix2 + 24i2 + -4i2x + 30x + 55x + -11x2 + -5x2 + x3) = -636

Combine like terms: 2ix2 + -2ix2 = 0
(-150 + 0 + 24i2 + -4i2x + 30x + 55x + -11x2 + -5x2 + x3) = -636
(-150 + 24i2 + -4i2x + 30x + 55x + -11x2 + -5x2 + x3) = -636

Combine like terms: 30x + 55x = 85x
(-150 + 24i2 + -4i2x + 85x + -11x2 + -5x2 + x3) = -636

Combine like terms: -11x2 + -5x2 = -16x2
(-150 + 24i2 + -4i2x + 85x + -16x2 + x3) = -636

Solving
-150 + 24i2 + -4i2x + 85x + -16x2 + x3 = -636

Solving for variable 'i'.

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

Add '150' to each side of the equation.
-150 + 24i2 + -4i2x + 85x + -16x2 + 150 + x3 = -636 + 150

Reorder the terms:
-150 + 150 + 24i2 + -4i2x + 85x + -16x2 + x3 = -636 + 150

Combine like terms: -150 + 150 = 0
0 + 24i2 + -4i2x + 85x + -16x2 + x3 = -636 + 150
24i2 + -4i2x + 85x + -16x2 + x3 = -636 + 150

Combine like terms: -636 + 150 = -486
24i2 + -4i2x + 85x + -16x2 + x3 = -486

Add '-85x' to each side of the equation.
24i2 + -4i2x + 85x + -16x2 + -85x + x3 = -486 + -85x

Reorder the terms:
24i2 + -4i2x + 85x + -85x + -16x2 + x3 = -486 + -85x

Combine like terms: 85x + -85x = 0
24i2 + -4i2x + 0 + -16x2 + x3 = -486 + -85x
24i2 + -4i2x + -16x2 + x3 = -486 + -85x

Add '16x2' to each side of the equation.
24i2 + -4i2x + -16x2 + 16x2 + x3 = -486 + -85x + 16x2

Combine like terms: -16x2 + 16x2 = 0
24i2 + -4i2x + 0 + x3 = -486 + -85x + 16x2
24i2 + -4i2x + x3 = -486 + -85x + 16x2

Add '-1x3' to each side of the equation.
24i2 + -4i2x + x3 + -1x3 = -486 + -85x + 16x2 + -1x3

Combine like terms: x3 + -1x3 = 0
24i2 + -4i2x + 0 = -486 + -85x + 16x2 + -1x3
24i2 + -4i2x = -486 + -85x + 16x2 + -1x3

Reorder the terms:
486 + 24i2 + -4i2x + 85x + -16x2 + x3 = -486 + -85x + 16x2 + -1x3 + 486 + 85x + -16x2 + x3

Reorder the terms:
486 + 24i2 + -4i2x + 85x + -16x2 + x3 = -486 + 486 + -85x + 85x + 16x2 + -16x2 + -1x3 + x3

Combine like terms: -486 + 486 = 0
486 + 24i2 + -4i2x + 85x + -16x2 + x3 = 0 + -85x + 85x + 16x2 + -16x2 + -1x3 + x3
486 + 24i2 + -4i2x + 85x + -16x2 + x3 = -85x + 85x + 16x2 + -16x2 + -1x3 + x3

Combine like terms: -85x + 85x = 0
486 + 24i2 + -4i2x + 85x + -16x2 + x3 = 0 + 16x2 + -16x2 + -1x3 + x3
486 + 24i2 + -4i2x + 85x + -16x2 + x3 = 16x2 + -16x2 + -1x3 + x3

Combine like terms: 16x2 + -16x2 = 0
486 + 24i2 + -4i2x + 85x + -16x2 + x3 = 0 + -1x3 + x3
486 + 24i2 + -4i2x + 85x + -16x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
486 + 24i2 + -4i2x + 85x + -16x2 + x3 = 0

The solution to this equation could not be determined.

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