f(x)=x^2(x+3)(x-1)

Solution for f(x)=x^2(x+3)(x-1) equation:

Simplifying
f(x) = x2(x + 3)(x + -1)

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

Reorder the terms:
fx = x2(3 + x)(x + -1)

Reorder the terms:
fx = x2(3 + x)(-1 + x)

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

Combine like terms: 3x + -1x = 2x
fx = x2(-3 + 2x + x2)
fx = (-3 * x2 + 2x * x2 + x2 * x2)
fx = (-3x2 + 2x3 + x4)

Solving
fx = -3x2 + 2x3 + x4

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -3x + 2x2 + x3

Simplifying
f = -3x + 2x2 + x3