f(x)=x(2x-1)(x+4)

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Solution for f(x)=x(2x-1)(x+4) equation: 


Simplifying
f(x) = x(2x + -1)(x + 4)

Multiply f * x
fx = x(2x + -1)(x + 4)

Reorder the terms:
fx = x(-1 + 2x)(x + 4)

Reorder the terms:
fx = x(-1 + 2x)(4 + x)

Multiply (-1 + 2x) * (4 + x)
fx = x(-1(4 + x) + 2x * (4 + x))
fx = x((4 * -1 + x * -1) + 2x * (4 + x))
fx = x((-4 + -1x) + 2x * (4 + x))
fx = x(-4 + -1x + (4 * 2x + x * 2x))
fx = x(-4 + -1x + (8x + 2x2))

Combine like terms: -1x + 8x = 7x
fx = x(-4 + 7x + 2x2)
fx = (-4 * x + 7x * x + 2x2 * x)
fx = (-4x + 7x2 + 2x3)

Solving
fx = -4x + 7x2 + 2x3

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 + 7x + 2x2

Simplifying
f = -4 + 7x + 2x2

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