f(x)=x(x+4)(x-2)

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Solution for f(x)=x(x+4)(x-2) equation:


Simplifying
f(x) = x(x + 4)(x + -2)

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

Reorder the terms:
fx = x(4 + x)(x + -2)

Reorder the terms:
fx = x(4 + x)(-2 + x)

Multiply (4 + x) * (-2 + x)
fx = x(4(-2 + x) + x(-2 + x))
fx = x((-2 * 4 + x * 4) + x(-2 + x))
fx = x((-8 + 4x) + x(-2 + x))
fx = x(-8 + 4x + (-2 * x + x * x))
fx = x(-8 + 4x + (-2x + x2))

Combine like terms: 4x + -2x = 2x
fx = x(-8 + 2x + x2)
fx = (-8 * x + 2x * x + x2 * x)
fx = (-8x + 2x2 + x3)

Solving
fx = -8x + 2x2 + 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 = -8 + 2x + x2

Simplifying
f = -8 + 2x + x2

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