y=(x-5)(x-2i)(x+2i)

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Solution for y=(x-5)(x-2i)(x+2i) equation:


Simplifying
y = (x + -5)(x + -2i)(x + 2i)

Reorder the terms:
y = (-5 + x)(x + -2i)(x + 2i)

Reorder the terms:
y = (-5 + x)(-2i + x)(x + 2i)

Reorder the terms:
y = (-5 + x)(-2i + x)(2i + x)

Multiply (-5 + x) * (-2i + x)
y = (-5(-2i + x) + x(-2i + x))(2i + x)
y = ((-2i * -5 + x * -5) + x(-2i + x))(2i + x)
y = ((10i + -5x) + x(-2i + x))(2i + x)
y = (10i + -5x + (-2i * x + x * x))(2i + x)
y = (10i + -5x + (-2ix + x2))(2i + x)

Reorder the terms:
y = (10i + -2ix + -5x + x2)(2i + x)
y = (10i + -2ix + -5x + x2)(2i + x)

Multiply (10i + -2ix + -5x + x2) * (2i + x)
y = (10i * (2i + x) + -2ix * (2i + x) + -5x * (2i + x) + x2(2i + x))
y = ((2i * 10i + x * 10i) + -2ix * (2i + x) + -5x * (2i + x) + x2(2i + x))

Reorder the terms:
y = ((10ix + 20i2) + -2ix * (2i + x) + -5x * (2i + x) + x2(2i + x))
y = ((10ix + 20i2) + -2ix * (2i + x) + -5x * (2i + x) + x2(2i + x))
y = (10ix + 20i2 + (2i * -2ix + x * -2ix) + -5x * (2i + x) + x2(2i + x))

Reorder the terms:
y = (10ix + 20i2 + (-2ix2 + -4i2x) + -5x * (2i + x) + x2(2i + x))
y = (10ix + 20i2 + (-2ix2 + -4i2x) + -5x * (2i + x) + x2(2i + x))
y = (10ix + 20i2 + -2ix2 + -4i2x + (2i * -5x + x * -5x) + x2(2i + x))
y = (10ix + 20i2 + -2ix2 + -4i2x + (-10ix + -5x2) + x2(2i + x))
y = (10ix + 20i2 + -2ix2 + -4i2x + -10ix + -5x2 + (2i * x2 + x * x2))
y = (10ix + 20i2 + -2ix2 + -4i2x + -10ix + -5x2 + (2ix2 + x3))

Reorder the terms:
y = (10ix + -10ix + -2ix2 + 2ix2 + 20i2 + -4i2x + -5x2 + x3)

Combine like terms: 10ix + -10ix = 0
y = (0 + -2ix2 + 2ix2 + 20i2 + -4i2x + -5x2 + x3)
y = (-2ix2 + 2ix2 + 20i2 + -4i2x + -5x2 + x3)

Combine like terms: -2ix2 + 2ix2 = 0
y = (0 + 20i2 + -4i2x + -5x2 + x3)
y = (20i2 + -4i2x + -5x2 + x3)

Solving
y = 20i2 + -4i2x + -5x2 + x3

Solving for variable 'y'.

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

Simplifying
y = 20i2 + -4i2x + -5x2 + x3

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