y=x^3+(1+2i)x^2+(-8+8i)x+(-12+8i)

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Solution for y=x^3+(1+2i)x^2+(-8+8i)x+(-12+8i) equation: 


Simplifying
y = x3 + (1 + 2i) * x2 + (-8 + 8i) * x + (-12 + 8i)

Reorder the terms for easier multiplication:
y = x3 + x2(1 + 2i) + (-8 + 8i) * x + (-12 + 8i)
y = x3 + (1 * x2 + 2i * x2) + (-8 + 8i) * x + (-12 + 8i)

Reorder the terms:
y = x3 + (2ix2 + 1x2) + (-8 + 8i) * x + (-12 + 8i)
y = x3 + (2ix2 + 1x2) + (-8 + 8i) * x + (-12 + 8i)

Reorder the terms for easier multiplication:
y = x3 + 2ix2 + 1x2 + x(-8 + 8i) + (-12 + 8i)
y = x3 + 2ix2 + 1x2 + (-8 * x + 8i * x) + (-12 + 8i)

Reorder the terms:
y = x3 + 2ix2 + 1x2 + (8ix + -8x) + (-12 + 8i)
y = x3 + 2ix2 + 1x2 + (8ix + -8x) + (-12 + 8i)

Remove parenthesis around (-12 + 8i)
y = x3 + 2ix2 + 1x2 + 8ix + -8x + -12 + 8i

Reorder the terms:
y = -12 + 8i + 8ix + 2ix2 + -8x + 1x2 + x3

Solving
y = -12 + 8i + 8ix + 2ix2 + -8x + 1x2 + x3

Solving for variable 'y'.

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

Simplifying
y = -12 + 8i + 8ix + 2ix2 + -8x + 1x2 + x3

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