y=(x+(1-5i))(x+(1+5i))

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Solution for y=(x+(1-5i))(x+(1+5i)) equation: 


Simplifying
y = (x + (1 + -5i))(x + (1 + 5i))

Remove parenthesis around (1 + -5i)
y = (x + 1 + -5i)(x + (1 + 5i))

Reorder the terms:
y = (1 + -5i + x)(x + (1 + 5i))

Remove parenthesis around (1 + 5i)
y = (1 + -5i + x)(x + 1 + 5i)

Reorder the terms:
y = (1 + -5i + x)(1 + 5i + x)

Multiply (1 + -5i + x) * (1 + 5i + x)
y = (1(1 + 5i + x) + -5i * (1 + 5i + x) + x(1 + 5i + x))
y = ((1 * 1 + 5i * 1 + x * 1) + -5i * (1 + 5i + x) + x(1 + 5i + x))
y = ((1 + 5i + 1x) + -5i * (1 + 5i + x) + x(1 + 5i + x))
y = (1 + 5i + 1x + (1 * -5i + 5i * -5i + x * -5i) + x(1 + 5i + x))

Reorder the terms:
y = (1 + 5i + 1x + (-5i + -5ix + -25i2) + x(1 + 5i + x))
y = (1 + 5i + 1x + (-5i + -5ix + -25i2) + x(1 + 5i + x))
y = (1 + 5i + 1x + -5i + -5ix + -25i2 + (1 * x + 5i * x + x * x))

Reorder the terms:
y = (1 + 5i + 1x + -5i + -5ix + -25i2 + (5ix + 1x + x2))
y = (1 + 5i + 1x + -5i + -5ix + -25i2 + (5ix + 1x + x2))

Reorder the terms:
y = (1 + 5i + -5i + -5ix + 5ix + -25i2 + 1x + 1x + x2)

Combine like terms: 5i + -5i = 0
y = (1 + 0 + -5ix + 5ix + -25i2 + 1x + 1x + x2)
y = (1 + -5ix + 5ix + -25i2 + 1x + 1x + x2)

Combine like terms: -5ix + 5ix = 0
y = (1 + 0 + -25i2 + 1x + 1x + x2)
y = (1 + -25i2 + 1x + 1x + x2)

Combine like terms: 1x + 1x = 2x
y = (1 + -25i2 + 2x + x2)

Solving
y = 1 + -25i2 + 2x + x2

Solving for variable 'y'.

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

Simplifying
y = 1 + -25i2 + 2x + x2

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