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 = 5x
y = (6 + 5x + x2)(-2 + x)

Multiply (6 + 5x + x2) * (-2 + x)
y = (6(-2 + x) + 5x * (-2 + x) + x2(-2 + x))
y = ((-2 * 6 + x * 6) + 5x * (-2 + x) + x2(-2 + x))
y = ((-12 + 6x) + 5x * (-2 + x) + x2(-2 + x))
y = (-12 + 6x + (-2 * 5x + x * 5x) + x2(-2 + x))
y = (-12 + 6x + (-10x + 5x2) + x2(-2 + x))
y = (-12 + 6x + -10x + 5x2 + (-2 * x2 + x * x2))
y = (-12 + 6x + -10x + 5x2 + (-2x2 + x3))

Combine like terms: 6x + -10x = -4x
y = (-12 + -4x + 5x2 + -2x2 + x3)

Combine like terms: 5x2 + -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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