y=[x-(4+6i)][x-(4-6i)]

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Solution for y=[x-(4+6i)][x-(4-6i)] equation: 


Simplifying
y = [x + -1(4 + 6i)][x + -1(4 + -6i)]
y = [x + (4 * -1 + 6i * -1)][x + -1(4 + -6i)]
y = [x + (-4 + -6i)][x + -1(4 + -6i)]

Reorder the terms:
y = [-4 + -6i + x][x + -1(4 + -6i)]
y = [-4 + -6i + x][x + (4 * -1 + -6i * -1)]
y = [-4 + -6i + x][x + (-4 + 6i)]

Reorder the terms:
y = [-4 + -6i + x][-4 + 6i + x]

Multiply [-4 + -6i + x] * [-4 + 6i + x]
y = [-4[-4 + 6i + x] + -6i * [-4 + 6i + x] + x[-4 + 6i + x]]
y = [[-4 * -4 + 6i * -4 + x * -4] + -6i * [-4 + 6i + x] + x[-4 + 6i + x]]
y = [[16 + -24i + -4x] + -6i * [-4 + 6i + x] + x[-4 + 6i + x]]
y = [16 + -24i + -4x + [-4 * -6i + 6i * -6i + x * -6i] + x[-4 + 6i + x]]

Reorder the terms:
y = [16 + -24i + -4x + [24i + -6ix + -36i2] + x[-4 + 6i + x]]
y = [16 + -24i + -4x + [24i + -6ix + -36i2] + x[-4 + 6i + x]]
y = [16 + -24i + -4x + 24i + -6ix + -36i2 + [-4 * x + 6i * x + x * x]]

Reorder the terms:
y = [16 + -24i + -4x + 24i + -6ix + -36i2 + [6ix + -4x + x2]]
y = [16 + -24i + -4x + 24i + -6ix + -36i2 + [6ix + -4x + x2]]

Reorder the terms:
y = [16 + -24i + 24i + -6ix + 6ix + -36i2 + -4x + -4x + x2]

Combine like terms: -24i + 24i = 0
y = [16 + 0 + -6ix + 6ix + -36i2 + -4x + -4x + x2]
y = [16 + -6ix + 6ix + -36i2 + -4x + -4x + x2]

Combine like terms: -6ix + 6ix = 0
y = [16 + 0 + -36i2 + -4x + -4x + x2]
y = [16 + -36i2 + -4x + -4x + x2]

Combine like terms: -4x + -4x = -8x
y = [16 + -36i2 + -8x + x2]

Solving
y = 16 + -36i2 + -8x + x2

Solving for variable 'y'.

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

Simplifying
y = 16 + -36i2 + -8x + x2

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