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

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Solution for f(x)=x(x+1)(x-2) equation: 


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

Multiply f * x
fx = x(x + 1)(x + -2)

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

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

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

Combine like terms: 1x + -2x = -1x
fx = x(-2 + -1x + x2)
fx = (-2 * x + -1x * x + x2 * x)
fx = (-2x + -1x2 + x3)

Solving
fx = -2x + -1x2 + 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 = -2 + -1x + x2

Simplifying
f = -2 + -1x + x2

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