f(x)=(x+5)(x-6)(x+6)

Solution for f(x)=(x+5)(x-6)(x+6) equation:

Simplifying
f(x) = (x + 5)(x + -6)(x + 6)

Multiply f * x
fx = (x + 5)(x + -6)(x + 6)

Reorder the terms:
fx = (5 + x)(x + -6)(x + 6)

Reorder the terms:
fx = (5 + x)(-6 + x)(x + 6)

Reorder the terms:
fx = (5 + x)(-6 + x)(6 + x)

Multiply (5 + x) * (-6 + x)
fx = (5(-6 + x) + x(-6 + x))(6 + x)
fx = ((-6 * 5 + x * 5) + x(-6 + x))(6 + x)
fx = ((-30 + 5x) + x(-6 + x))(6 + x)
fx = (-30 + 5x + (-6 * x + x * x))(6 + x)
fx = (-30 + 5x + (-6x + x2))(6 + x)

Combine like terms: 5x + -6x = -1x
fx = (-30 + -1x + x2)(6 + x)

Multiply (-30 + -1x + x2) * (6 + x)
fx = (-30(6 + x) + -1x * (6 + x) + x2(6 + x))
fx = ((6 * -30 + x * -30) + -1x * (6 + x) + x2(6 + x))
fx = ((-180 + -30x) + -1x * (6 + x) + x2(6 + x))
fx = (-180 + -30x + (6 * -1x + x * -1x) + x2(6 + x))
fx = (-180 + -30x + (-6x + -1x2) + x2(6 + x))
fx = (-180 + -30x + -6x + -1x2 + (6 * x2 + x * x2))
fx = (-180 + -30x + -6x + -1x2 + (6x2 + x3))

Combine like terms: -30x + -6x = -36x
fx = (-180 + -36x + -1x2 + 6x2 + x3)

Combine like terms: -1x2 + 6x2 = 5x2
fx = (-180 + -36x + 5x2 + x3)

Solving
fx = -180 + -36x + 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 = -180x-1 + -36 + 5x + x2

Simplifying
f = -180x-1 + -36 + 5x + x2

Reorder the terms:
f = -36 + -180x-1 + 5x + x2