f(x)=(x-3)(x+8)(x-11)

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Solution for f(x)=(x-3)(x+8)(x-11) equation: 


Simplifying
f(x) = (x + -3)(x + 8)(x + -11)

Multiply f * x
fx = (x + -3)(x + 8)(x + -11)

Reorder the terms:
fx = (-3 + x)(x + 8)(x + -11)

Reorder the terms:
fx = (-3 + x)(8 + x)(x + -11)

Reorder the terms:
fx = (-3 + x)(8 + x)(-11 + x)

Multiply (-3 + x) * (8 + x)
fx = (-3(8 + x) + x(8 + x))(-11 + x)
fx = ((8 * -3 + x * -3) + x(8 + x))(-11 + x)
fx = ((-24 + -3x) + x(8 + x))(-11 + x)
fx = (-24 + -3x + (8 * x + x * x))(-11 + x)
fx = (-24 + -3x + (8x + x2))(-11 + x)

Combine like terms: -3x + 8x = 5x
fx = (-24 + 5x + x2)(-11 + x)

Multiply (-24 + 5x + x2) * (-11 + x)
fx = (-24(-11 + x) + 5x * (-11 + x) + x2(-11 + x))
fx = ((-11 * -24 + x * -24) + 5x * (-11 + x) + x2(-11 + x))
fx = ((264 + -24x) + 5x * (-11 + x) + x2(-11 + x))
fx = (264 + -24x + (-11 * 5x + x * 5x) + x2(-11 + x))
fx = (264 + -24x + (-55x + 5x2) + x2(-11 + x))
fx = (264 + -24x + -55x + 5x2 + (-11 * x2 + x * x2))
fx = (264 + -24x + -55x + 5x2 + (-11x2 + x3))

Combine like terms: -24x + -55x = -79x
fx = (264 + -79x + 5x2 + -11x2 + x3)

Combine like terms: 5x2 + -11x2 = -6x2
fx = (264 + -79x + -6x2 + x3)

Solving
fx = 264 + -79x + -6x2 + 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 = 264x-1 + -79 + -6x + x2

Simplifying
f = 264x-1 + -79 + -6x + x2

Reorder the terms:
f = -79 + 264x-1 + -6x + x2

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