f(x)=(8-3x)(x^2-2x-15)

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Solution for f(x)=(8-3x)(x^2-2x-15) equation: 


Simplifying
f(x) = (8 + -3x)(x2 + -2x + -15)

Multiply f * x
fx = (8 + -3x)(x2 + -2x + -15)

Reorder the terms:
fx = (8 + -3x)(-15 + -2x + x2)

Multiply (8 + -3x) * (-15 + -2x + x2)
fx = (8(-15 + -2x + x2) + -3x * (-15 + -2x + x2))
fx = ((-15 * 8 + -2x * 8 + x2 * 8) + -3x * (-15 + -2x + x2))
fx = ((-120 + -16x + 8x2) + -3x * (-15 + -2x + x2))
fx = (-120 + -16x + 8x2 + (-15 * -3x + -2x * -3x + x2 * -3x))
fx = (-120 + -16x + 8x2 + (45x + 6x2 + -3x3))

Reorder the terms:
fx = (-120 + -16x + 45x + 8x2 + 6x2 + -3x3)

Combine like terms: -16x + 45x = 29x
fx = (-120 + 29x + 8x2 + 6x2 + -3x3)

Combine like terms: 8x2 + 6x2 = 14x2
fx = (-120 + 29x + 14x2 + -3x3)

Solving
fx = -120 + 29x + 14x2 + -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 = -120x-1 + 29 + 14x + -3x2

Simplifying
f = -120x-1 + 29 + 14x + -3x2

Reorder the terms:
f = 29 + -120x-1 + 14x + -3x2

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