(x-1)(x+3+6i)(x+3-6i)=y

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Solution for (x-1)(x+3+6i)(x+3-6i)=y equation:


Simplifying
(x + -1)(x + 3 + 6i)(x + 3 + -6i) = y

Reorder the terms:
(-1 + x)(x + 3 + 6i)(x + 3 + -6i) = y

Reorder the terms:
(-1 + x)(3 + 6i + x)(x + 3 + -6i) = y

Reorder the terms:
(-1 + x)(3 + 6i + x)(3 + -6i + x) = y

Multiply (-1 + x) * (3 + 6i + x)
(-1(3 + 6i + x) + x(3 + 6i + x))(3 + -6i + x) = y
((3 * -1 + 6i * -1 + x * -1) + x(3 + 6i + x))(3 + -6i + x) = y
((-3 + -6i + -1x) + x(3 + 6i + x))(3 + -6i + x) = y
(-3 + -6i + -1x + (3 * x + 6i * x + x * x))(3 + -6i + x) = y

Reorder the terms:
(-3 + -6i + -1x + (6ix + 3x + x2))(3 + -6i + x) = y
(-3 + -6i + -1x + (6ix + 3x + x2))(3 + -6i + x) = y

Reorder the terms:
(-3 + -6i + 6ix + -1x + 3x + x2)(3 + -6i + x) = y

Combine like terms: -1x + 3x = 2x
(-3 + -6i + 6ix + 2x + x2)(3 + -6i + x) = y

Multiply (-3 + -6i + 6ix + 2x + x2) * (3 + -6i + x)
(-3(3 + -6i + x) + -6i * (3 + -6i + x) + 6ix * (3 + -6i + x) + 2x * (3 + -6i + x) + x2(3 + -6i + x)) = y
((3 * -3 + -6i * -3 + x * -3) + -6i * (3 + -6i + x) + 6ix * (3 + -6i + x) + 2x * (3 + -6i + x) + x2(3 + -6i + x)) = y
((-9 + 18i + -3x) + -6i * (3 + -6i + x) + 6ix * (3 + -6i + x) + 2x * (3 + -6i + x) + x2(3 + -6i + x)) = y
(-9 + 18i + -3x + (3 * -6i + -6i * -6i + x * -6i) + 6ix * (3 + -6i + x) + 2x * (3 + -6i + x) + x2(3 + -6i + x)) = y

Reorder the terms:
(-9 + 18i + -3x + (-18i + -6ix + 36i2) + 6ix * (3 + -6i + x) + 2x * (3 + -6i + x) + x2(3 + -6i + x)) = y
(-9 + 18i + -3x + (-18i + -6ix + 36i2) + 6ix * (3 + -6i + x) + 2x * (3 + -6i + x) + x2(3 + -6i + x)) = y
(-9 + 18i + -3x + -18i + -6ix + 36i2 + (3 * 6ix + -6i * 6ix + x * 6ix) + 2x * (3 + -6i + x) + x2(3 + -6i + x)) = y

Reorder the terms:
(-9 + 18i + -3x + -18i + -6ix + 36i2 + (18ix + 6ix2 + -36i2x) + 2x * (3 + -6i + x) + x2(3 + -6i + x)) = y
(-9 + 18i + -3x + -18i + -6ix + 36i2 + (18ix + 6ix2 + -36i2x) + 2x * (3 + -6i + x) + x2(3 + -6i + x)) = y
(-9 + 18i + -3x + -18i + -6ix + 36i2 + 18ix + 6ix2 + -36i2x + (3 * 2x + -6i * 2x + x * 2x) + x2(3 + -6i + x)) = y

Reorder the terms:
(-9 + 18i + -3x + -18i + -6ix + 36i2 + 18ix + 6ix2 + -36i2x + (-12ix + 6x + 2x2) + x2(3 + -6i + x)) = y
(-9 + 18i + -3x + -18i + -6ix + 36i2 + 18ix + 6ix2 + -36i2x + (-12ix + 6x + 2x2) + x2(3 + -6i + x)) = y
(-9 + 18i + -3x + -18i + -6ix + 36i2 + 18ix + 6ix2 + -36i2x + -12ix + 6x + 2x2 + (3 * x2 + -6i * x2 + x * x2)) = y

Reorder the terms:
(-9 + 18i + -3x + -18i + -6ix + 36i2 + 18ix + 6ix2 + -36i2x + -12ix + 6x + 2x2 + (-6ix2 + 3x2 + x3)) = y
(-9 + 18i + -3x + -18i + -6ix + 36i2 + 18ix + 6ix2 + -36i2x + -12ix + 6x + 2x2 + (-6ix2 + 3x2 + x3)) = y

Reorder the terms:
(-9 + 18i + -18i + -6ix + 18ix + -12ix + 6ix2 + -6ix2 + 36i2 + -36i2x + -3x + 6x + 2x2 + 3x2 + x3) = y

Combine like terms: 18i + -18i = 0
(-9 + 0 + -6ix + 18ix + -12ix + 6ix2 + -6ix2 + 36i2 + -36i2x + -3x + 6x + 2x2 + 3x2 + x3) = y
(-9 + -6ix + 18ix + -12ix + 6ix2 + -6ix2 + 36i2 + -36i2x + -3x + 6x + 2x2 + 3x2 + x3) = y

Combine like terms: -6ix + 18ix = 12ix
(-9 + 12ix + -12ix + 6ix2 + -6ix2 + 36i2 + -36i2x + -3x + 6x + 2x2 + 3x2 + x3) = y

Combine like terms: 12ix + -12ix = 0
(-9 + 0 + 6ix2 + -6ix2 + 36i2 + -36i2x + -3x + 6x + 2x2 + 3x2 + x3) = y
(-9 + 6ix2 + -6ix2 + 36i2 + -36i2x + -3x + 6x + 2x2 + 3x2 + x3) = y

Combine like terms: 6ix2 + -6ix2 = 0
(-9 + 0 + 36i2 + -36i2x + -3x + 6x + 2x2 + 3x2 + x3) = y
(-9 + 36i2 + -36i2x + -3x + 6x + 2x2 + 3x2 + x3) = y

Combine like terms: -3x + 6x = 3x
(-9 + 36i2 + -36i2x + 3x + 2x2 + 3x2 + x3) = y

Combine like terms: 2x2 + 3x2 = 5x2
(-9 + 36i2 + -36i2x + 3x + 5x2 + x3) = y

Solving
-9 + 36i2 + -36i2x + 3x + 5x2 + x3 = y

Solving for variable 'i'.

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

Add '9' to each side of the equation.
-9 + 36i2 + -36i2x + 3x + 5x2 + 9 + x3 = 9 + y

Reorder the terms:
-9 + 9 + 36i2 + -36i2x + 3x + 5x2 + x3 = 9 + y

Combine like terms: -9 + 9 = 0
0 + 36i2 + -36i2x + 3x + 5x2 + x3 = 9 + y
36i2 + -36i2x + 3x + 5x2 + x3 = 9 + y

Add '-3x' to each side of the equation.
36i2 + -36i2x + 3x + 5x2 + -3x + x3 = 9 + -3x + y

Reorder the terms:
36i2 + -36i2x + 3x + -3x + 5x2 + x3 = 9 + -3x + y

Combine like terms: 3x + -3x = 0
36i2 + -36i2x + 0 + 5x2 + x3 = 9 + -3x + y
36i2 + -36i2x + 5x2 + x3 = 9 + -3x + y

Add '-5x2' to each side of the equation.
36i2 + -36i2x + 5x2 + -5x2 + x3 = 9 + -3x + -5x2 + y

Combine like terms: 5x2 + -5x2 = 0
36i2 + -36i2x + 0 + x3 = 9 + -3x + -5x2 + y
36i2 + -36i2x + x3 = 9 + -3x + -5x2 + y

Add '-1x3' to each side of the equation.
36i2 + -36i2x + x3 + -1x3 = 9 + -3x + -5x2 + -1x3 + y

Combine like terms: x3 + -1x3 = 0
36i2 + -36i2x + 0 = 9 + -3x + -5x2 + -1x3 + y
36i2 + -36i2x = 9 + -3x + -5x2 + -1x3 + y

Reorder the terms:
-9 + 36i2 + -36i2x + 3x + 5x2 + x3 + -1y = 9 + -3x + -5x2 + -1x3 + y + -9 + 3x + 5x2 + x3 + -1y

Reorder the terms:
-9 + 36i2 + -36i2x + 3x + 5x2 + x3 + -1y = 9 + -9 + -3x + 3x + -5x2 + 5x2 + -1x3 + x3 + y + -1y

Combine like terms: 9 + -9 = 0
-9 + 36i2 + -36i2x + 3x + 5x2 + x3 + -1y = 0 + -3x + 3x + -5x2 + 5x2 + -1x3 + x3 + y + -1y
-9 + 36i2 + -36i2x + 3x + 5x2 + x3 + -1y = -3x + 3x + -5x2 + 5x2 + -1x3 + x3 + y + -1y

Combine like terms: -3x + 3x = 0
-9 + 36i2 + -36i2x + 3x + 5x2 + x3 + -1y = 0 + -5x2 + 5x2 + -1x3 + x3 + y + -1y
-9 + 36i2 + -36i2x + 3x + 5x2 + x3 + -1y = -5x2 + 5x2 + -1x3 + x3 + y + -1y

Combine like terms: -5x2 + 5x2 = 0
-9 + 36i2 + -36i2x + 3x + 5x2 + x3 + -1y = 0 + -1x3 + x3 + y + -1y
-9 + 36i2 + -36i2x + 3x + 5x2 + x3 + -1y = -1x3 + x3 + y + -1y

Combine like terms: -1x3 + x3 = 0
-9 + 36i2 + -36i2x + 3x + 5x2 + x3 + -1y = 0 + y + -1y
-9 + 36i2 + -36i2x + 3x + 5x2 + x3 + -1y = y + -1y

Combine like terms: y + -1y = 0
-9 + 36i2 + -36i2x + 3x + 5x2 + x3 + -1y = 0

The solution to this equation could not be determined.

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