y=(x-3)(x+2)(x-2)

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Solution for y=(x-3)(x+2)(x-2) equation: 


Simplifying
y = (x + -3)(x + 2)(x + -2)

Reorder the terms:
y = (-3 + x)(x + 2)(x + -2)

Reorder the terms:
y = (-3 + x)(2 + x)(x + -2)

Reorder the terms:
y = (-3 + x)(2 + x)(-2 + x)

Multiply (-3 + x) * (2 + x)
y = (-3(2 + x) + x(2 + x))(-2 + x)
y = ((2 * -3 + x * -3) + x(2 + x))(-2 + x)
y = ((-6 + -3x) + x(2 + x))(-2 + x)
y = (-6 + -3x + (2 * x + x * x))(-2 + x)
y = (-6 + -3x + (2x + x2))(-2 + x)

Combine like terms: -3x + 2x = -1x
y = (-6 + -1x + x2)(-2 + x)

Multiply (-6 + -1x + x2) * (-2 + x)
y = (-6(-2 + x) + -1x * (-2 + x) + x2(-2 + x))
y = ((-2 * -6 + x * -6) + -1x * (-2 + x) + x2(-2 + x))
y = ((12 + -6x) + -1x * (-2 + x) + x2(-2 + x))
y = (12 + -6x + (-2 * -1x + x * -1x) + x2(-2 + x))
y = (12 + -6x + (2x + -1x2) + x2(-2 + x))
y = (12 + -6x + 2x + -1x2 + (-2 * x2 + x * x2))
y = (12 + -6x + 2x + -1x2 + (-2x2 + x3))

Combine like terms: -6x + 2x = -4x
y = (12 + -4x + -1x2 + -2x2 + x3)

Combine like terms: -1x2 + -2x2 = -3x2
y = (12 + -4x + -3x2 + x3)

Solving
y = 12 + -4x + -3x2 + x3

Solving for variable 'y'.

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

Simplifying
y = 12 + -4x + -3x2 + x3

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