f(x)=x(x+2)(x-2)

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Solution for f(x)=x(x+2)(x-2) equation: 


Simplifying
f(x) = x(x + 2)(x + -2)

Multiply f * x
fx = x(x + 2)(x + -2)

Reorder the terms:
fx = x(2 + x)(x + -2)

Reorder the terms:
fx = x(2 + x)(-2 + x)

Multiply (2 + x) * (-2 + x)
fx = x(2(-2 + x) + x(-2 + x))
fx = x((-2 * 2 + x * 2) + x(-2 + x))
fx = x((-4 + 2x) + x(-2 + x))
fx = x(-4 + 2x + (-2 * x + x * x))
fx = x(-4 + 2x + (-2x + x2))

Combine like terms: 2x + -2x = 0
fx = x(-4 + 0 + x2)
fx = x(-4 + x2)
fx = (-4 * x + x2 * x)
fx = (-4x + x3)

Solving
fx = -4x + x3

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -4 + x2

Simplifying
f = -4 + x2

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