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

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


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

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

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

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

Multiply (-2 + x) * (2 + x)
y = (-2(2 + x) + x(2 + x))(-3 + x)
y = ((2 * -2 + x * -2) + x(2 + x))(-3 + x)
y = ((-4 + -2x) + x(2 + x))(-3 + x)
y = (-4 + -2x + (2 * x + x * x))(-3 + x)
y = (-4 + -2x + (2x + x2))(-3 + x)

Combine like terms: -2x + 2x = 0
y = (-4 + 0 + x2)(-3 + x)
y = (-4 + x2)(-3 + x)

Multiply (-4 + x2) * (-3 + x)
y = (-4(-3 + x) + x2(-3 + x))
y = ((-3 * -4 + x * -4) + x2(-3 + x))
y = ((12 + -4x) + x2(-3 + x))
y = (12 + -4x + (-3 * x2 + x * x2))
y = (12 + -4x + (-3x2 + x3))
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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