(x+4)(x-5+5i)(x+5+5i)=-200

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Solution for (x+4)(x-5+5i)(x+5+5i)=-200 equation: 


Simplifying
(x + 4)(x + -5 + 5i)(x + 5 + 5i) = -200

Reorder the terms:
(4 + x)(x + -5 + 5i)(x + 5 + 5i) = -200

Reorder the terms:
(4 + x)(-5 + 5i + x)(x + 5 + 5i) = -200

Reorder the terms:
(4 + x)(-5 + 5i + x)(5 + 5i + x) = -200

Multiply (4 + x) * (-5 + 5i + x)
(4(-5 + 5i + x) + x(-5 + 5i + x))(5 + 5i + x) = -200
((-5 * 4 + 5i * 4 + x * 4) + x(-5 + 5i + x))(5 + 5i + x) = -200
((-20 + 20i + 4x) + x(-5 + 5i + x))(5 + 5i + x) = -200
(-20 + 20i + 4x + (-5 * x + 5i * x + x * x))(5 + 5i + x) = -200

Reorder the terms:
(-20 + 20i + 4x + (5ix + -5x + x2))(5 + 5i + x) = -200
(-20 + 20i + 4x + (5ix + -5x + x2))(5 + 5i + x) = -200

Reorder the terms:
(-20 + 20i + 5ix + 4x + -5x + x2)(5 + 5i + x) = -200

Combine like terms: 4x + -5x = -1x
(-20 + 20i + 5ix + -1x + x2)(5 + 5i + x) = -200

Multiply (-20 + 20i + 5ix + -1x + x2) * (5 + 5i + x)
(-20(5 + 5i + x) + 20i * (5 + 5i + x) + 5ix * (5 + 5i + x) + -1x * (5 + 5i + x) + x2(5 + 5i + x)) = -200
((5 * -20 + 5i * -20 + x * -20) + 20i * (5 + 5i + x) + 5ix * (5 + 5i + x) + -1x * (5 + 5i + x) + x2(5 + 5i + x)) = -200
((-100 + -100i + -20x) + 20i * (5 + 5i + x) + 5ix * (5 + 5i + x) + -1x * (5 + 5i + x) + x2(5 + 5i + x)) = -200
(-100 + -100i + -20x + (5 * 20i + 5i * 20i + x * 20i) + 5ix * (5 + 5i + x) + -1x * (5 + 5i + x) + x2(5 + 5i + x)) = -200

Reorder the terms:
(-100 + -100i + -20x + (100i + 20ix + 100i2) + 5ix * (5 + 5i + x) + -1x * (5 + 5i + x) + x2(5 + 5i + x)) = -200
(-100 + -100i + -20x + (100i + 20ix + 100i2) + 5ix * (5 + 5i + x) + -1x * (5 + 5i + x) + x2(5 + 5i + x)) = -200
(-100 + -100i + -20x + 100i + 20ix + 100i2 + (5 * 5ix + 5i * 5ix + x * 5ix) + -1x * (5 + 5i + x) + x2(5 + 5i + x)) = -200

Reorder the terms:
(-100 + -100i + -20x + 100i + 20ix + 100i2 + (25ix + 5ix2 + 25i2x) + -1x * (5 + 5i + x) + x2(5 + 5i + x)) = -200
(-100 + -100i + -20x + 100i + 20ix + 100i2 + (25ix + 5ix2 + 25i2x) + -1x * (5 + 5i + x) + x2(5 + 5i + x)) = -200
(-100 + -100i + -20x + 100i + 20ix + 100i2 + 25ix + 5ix2 + 25i2x + (5 * -1x + 5i * -1x + x * -1x) + x2(5 + 5i + x)) = -200

Reorder the terms:
(-100 + -100i + -20x + 100i + 20ix + 100i2 + 25ix + 5ix2 + 25i2x + (-5ix + -5x + -1x2) + x2(5 + 5i + x)) = -200
(-100 + -100i + -20x + 100i + 20ix + 100i2 + 25ix + 5ix2 + 25i2x + (-5ix + -5x + -1x2) + x2(5 + 5i + x)) = -200
(-100 + -100i + -20x + 100i + 20ix + 100i2 + 25ix + 5ix2 + 25i2x + -5ix + -5x + -1x2 + (5 * x2 + 5i * x2 + x * x2)) = -200

Reorder the terms:
(-100 + -100i + -20x + 100i + 20ix + 100i2 + 25ix + 5ix2 + 25i2x + -5ix + -5x + -1x2 + (5ix2 + 5x2 + x3)) = -200
(-100 + -100i + -20x + 100i + 20ix + 100i2 + 25ix + 5ix2 + 25i2x + -5ix + -5x + -1x2 + (5ix2 + 5x2 + x3)) = -200

Reorder the terms:
(-100 + -100i + 100i + 20ix + 25ix + -5ix + 5ix2 + 5ix2 + 100i2 + 25i2x + -20x + -5x + -1x2 + 5x2 + x3) = -200

Combine like terms: -100i + 100i = 0
(-100 + 0 + 20ix + 25ix + -5ix + 5ix2 + 5ix2 + 100i2 + 25i2x + -20x + -5x + -1x2 + 5x2 + x3) = -200
(-100 + 20ix + 25ix + -5ix + 5ix2 + 5ix2 + 100i2 + 25i2x + -20x + -5x + -1x2 + 5x2 + x3) = -200

Combine like terms: 20ix + 25ix = 45ix
(-100 + 45ix + -5ix + 5ix2 + 5ix2 + 100i2 + 25i2x + -20x + -5x + -1x2 + 5x2 + x3) = -200

Combine like terms: 45ix + -5ix = 40ix
(-100 + 40ix + 5ix2 + 5ix2 + 100i2 + 25i2x + -20x + -5x + -1x2 + 5x2 + x3) = -200

Combine like terms: 5ix2 + 5ix2 = 10ix2
(-100 + 40ix + 10ix2 + 100i2 + 25i2x + -20x + -5x + -1x2 + 5x2 + x3) = -200

Combine like terms: -20x + -5x = -25x
(-100 + 40ix + 10ix2 + 100i2 + 25i2x + -25x + -1x2 + 5x2 + x3) = -200

Combine like terms: -1x2 + 5x2 = 4x2
(-100 + 40ix + 10ix2 + 100i2 + 25i2x + -25x + 4x2 + x3) = -200

Solving
-100 + 40ix + 10ix2 + 100i2 + 25i2x + -25x + 4x2 + x3 = -200

Solving for variable 'i'.

Reorder the terms:
-100 + 200 + 40ix + 10ix2 + 100i2 + 25i2x + -25x + 4x2 + x3 = -200 + 200

Combine like terms: -100 + 200 = 100
100 + 40ix + 10ix2 + 100i2 + 25i2x + -25x + 4x2 + x3 = -200 + 200

Combine like terms: -200 + 200 = 0
100 + 40ix + 10ix2 + 100i2 + 25i2x + -25x + 4x2 + x3 = 0

The solution to this equation could not be determined.

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