f(x)=x(x+1)(x-6)

Solution for f(x)=x(x+1)(x-6) equation:

Simplifying
f(x) = x(x + 1)(x + -6)

Multiply f * x
fx = x(x + 1)(x + -6)

Reorder the terms:
fx = x(1 + x)(x + -6)

Reorder the terms:
fx = x(1 + x)(-6 + x)

Multiply (1 + x) * (-6 + x)
fx = x(1(-6 + x) + x(-6 + x))
fx = x((-6 * 1 + x * 1) + x(-6 + x))
fx = x((-6 + 1x) + x(-6 + x))
fx = x(-6 + 1x + (-6 * x + x * x))
fx = x(-6 + 1x + (-6x + x2))

Combine like terms: 1x + -6x = -5x
fx = x(-6 + -5x + x2)
fx = (-6 * x + -5x * x + x2 * x)
fx = (-6x + -5x2 + x3)

Solving
fx = -6x + -5x2 + 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 = -6 + -5x + x2

Simplifying
f = -6 + -5x + x2