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

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

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

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

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

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

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

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

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

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

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

Combine like terms: -2x3 + 2x3 = 0
y = -1(4 + -5x2 + 0 + x4)
y = -1(4 + -5x2 + x4)
y = (4 * -1 + -5x2 * -1 + x4 * -1)
y = (-4 + 5x2 + -1x4)

Solving
y = -4 + 5x2 + -1x4

Solving for variable 'y'.

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

Simplifying
y = -4 + 5x2 + -1x4

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