f(x)=x(3x-1)(x+1)

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Solution for f(x)=x(3x-1)(x+1) equation: 


Simplifying
f(x) = x(3x + -1)(x + 1)

Multiply f * x
fx = x(3x + -1)(x + 1)

Reorder the terms:
fx = x(-1 + 3x)(x + 1)

Reorder the terms:
fx = x(-1 + 3x)(1 + x)

Multiply (-1 + 3x) * (1 + x)
fx = x(-1(1 + x) + 3x * (1 + x))
fx = x((1 * -1 + x * -1) + 3x * (1 + x))
fx = x((-1 + -1x) + 3x * (1 + x))
fx = x(-1 + -1x + (1 * 3x + x * 3x))
fx = x(-1 + -1x + (3x + 3x2))

Combine like terms: -1x + 3x = 2x
fx = x(-1 + 2x + 3x2)
fx = (-1 * x + 2x * x + 3x2 * x)
fx = (-1x + 2x2 + 3x3)

Solving
fx = -1x + 2x2 + 3x3

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -1 + 2x + 3x2

Simplifying
f = -1 + 2x + 3x2

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