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

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


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

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

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

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

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

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

Reorder the terms:
y = ((6ix + -36i2) + x(-6i + x))(-1 + x)(-1 + x)
y = ((6ix + -36i2) + x(-6i + x))(-1 + x)(-1 + x)
y = (6ix + -36i2 + (-6i * x + x * x))(-1 + x)(-1 + x)
y = (6ix + -36i2 + (-6ix + x2))(-1 + x)(-1 + x)

Reorder the terms:
y = (6ix + -6ix + -36i2 + x2)(-1 + x)(-1 + x)

Combine like terms: 6ix + -6ix = 0
y = (0 + -36i2 + x2)(-1 + x)(-1 + x)
y = (-36i2 + x2)(-1 + x)(-1 + x)

Multiply (-36i2 + x2) * (-1 + x)
y = (-36i2 * (-1 + x) + x2(-1 + x))(-1 + x)
y = ((-1 * -36i2 + x * -36i2) + x2(-1 + x))(-1 + x)
y = ((36i2 + -36i2x) + x2(-1 + x))(-1 + x)
y = (36i2 + -36i2x + (-1 * x2 + x * x2))(-1 + x)
y = (36i2 + -36i2x + (-1x2 + x3))(-1 + x)
y = (36i2 + -36i2x + -1x2 + x3)(-1 + x)

Multiply (36i2 + -36i2x + -1x2 + x3) * (-1 + x)
y = (36i2 * (-1 + x) + -36i2x * (-1 + x) + -1x2 * (-1 + x) + x3(-1 + x))
y = ((-1 * 36i2 + x * 36i2) + -36i2x * (-1 + x) + -1x2 * (-1 + x) + x3(-1 + x))
y = ((-36i2 + 36i2x) + -36i2x * (-1 + x) + -1x2 * (-1 + x) + x3(-1 + x))
y = (-36i2 + 36i2x + (-1 * -36i2x + x * -36i2x) + -1x2 * (-1 + x) + x3(-1 + x))
y = (-36i2 + 36i2x + (36i2x + -36i2x2) + -1x2 * (-1 + x) + x3(-1 + x))
y = (-36i2 + 36i2x + 36i2x + -36i2x2 + (-1 * -1x2 + x * -1x2) + x3(-1 + x))
y = (-36i2 + 36i2x + 36i2x + -36i2x2 + (1x2 + -1x3) + x3(-1 + x))
y = (-36i2 + 36i2x + 36i2x + -36i2x2 + 1x2 + -1x3 + (-1 * x3 + x * x3))
y = (-36i2 + 36i2x + 36i2x + -36i2x2 + 1x2 + -1x3 + (-1x3 + x4))

Combine like terms: 36i2x + 36i2x = 72i2x
y = (-36i2 + 72i2x + -36i2x2 + 1x2 + -1x3 + -1x3 + x4)

Combine like terms: -1x3 + -1x3 = -2x3
y = (-36i2 + 72i2x + -36i2x2 + 1x2 + -2x3 + x4)

Solving
y = -36i2 + 72i2x + -36i2x2 + 1x2 + -2x3 + x4

Solving for variable 'y'.

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

Simplifying
y = -36i2 + 72i2x + -36i2x2 + 1x2 + -2x3 + x4

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