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

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


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

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

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

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

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

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

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

Solving
y = -25i2 + x2

Solving for variable 'y'.

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

Simplifying
y = -25i2 + x2

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