y=(x-1)(x+1)(x+2)(x-2)

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Solution for y=(x-1)(x+1)(x+2)(x-2) equation: 


Simplifying
y = (x + -1)(x + 1)(x + 2)(x + -2)

Reorder the terms:
y = (-1 + x)(x + 1)(x + 2)(x + -2)

Reorder the terms:
y = (-1 + x)(1 + x)(x + 2)(x + -2)

Reorder the terms:
y = (-1 + x)(1 + x)(2 + x)(x + -2)

Reorder the terms:
y = (-1 + x)(1 + x)(2 + x)(-2 + x)

Multiply (-1 + x) * (1 + x)
y = (-1(1 + x) + x(1 + x))(2 + x)(-2 + x)
y = ((1 * -1 + x * -1) + x(1 + x))(2 + x)(-2 + x)
y = ((-1 + -1x) + x(1 + x))(2 + x)(-2 + x)
y = (-1 + -1x + (1 * x + x * x))(2 + x)(-2 + x)
y = (-1 + -1x + (1x + x2))(2 + x)(-2 + x)

Combine like terms: -1x + 1x = 0
y = (-1 + 0 + x2)(2 + x)(-2 + x)
y = (-1 + x2)(2 + x)(-2 + x)

Multiply (-1 + x2) * (2 + x)
y = (-1(2 + x) + x2(2 + x))(-2 + x)
y = ((2 * -1 + x * -1) + x2(2 + x))(-2 + x)
y = ((-2 + -1x) + x2(2 + x))(-2 + x)
y = (-2 + -1x + (2 * x2 + x * x2))(-2 + x)
y = (-2 + -1x + (2x2 + x3))(-2 + x)
y = (-2 + -1x + 2x2 + x3)(-2 + x)

Multiply (-2 + -1x + 2x2 + x3) * (-2 + x)
y = (-2(-2 + x) + -1x * (-2 + x) + 2x2 * (-2 + x) + x3(-2 + x))
y = ((-2 * -2 + x * -2) + -1x * (-2 + x) + 2x2 * (-2 + x) + x3(-2 + x))
y = ((4 + -2x) + -1x * (-2 + x) + 2x2 * (-2 + x) + x3(-2 + x))
y = (4 + -2x + (-2 * -1x + x * -1x) + 2x2 * (-2 + x) + x3(-2 + x))
y = (4 + -2x + (2x + -1x2) + 2x2 * (-2 + x) + x3(-2 + x))
y = (4 + -2x + 2x + -1x2 + (-2 * 2x2 + x * 2x2) + x3(-2 + x))
y = (4 + -2x + 2x + -1x2 + (-4x2 + 2x3) + x3(-2 + x))
y = (4 + -2x + 2x + -1x2 + -4x2 + 2x3 + (-2 * x3 + x * x3))
y = (4 + -2x + 2x + -1x2 + -4x2 + 2x3 + (-2x3 + x4))

Combine like terms: -2x + 2x = 0
y = (4 + 0 + -1x2 + -4x2 + 2x3 + -2x3 + x4)
y = (4 + -1x2 + -4x2 + 2x3 + -2x3 + x4)

Combine like terms: -1x2 + -4x2 = -5x2
y = (4 + -5x2 + 2x3 + -2x3 + x4)

Combine like terms: 2x3 + -2x3 = 0
y = (4 + -5x2 + 0 + x4)
y = (4 + -5x2 + x4)

Solving
y = 4 + -5x2 + x4

Solving for variable 'y'.

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

Simplifying
y = 4 + -5x2 + x4

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