f(x)=(x^2-2x+8)(x-6)

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Solution for f(x)=(x^2-2x+8)(x-6) equation: 


Simplifying
f(x) = (x2 + -2x + 8)(x + -6)

Multiply f * x
fx = (x2 + -2x + 8)(x + -6)

Reorder the terms:
fx = (8 + -2x + x2)(x + -6)

Reorder the terms:
fx = (8 + -2x + x2)(-6 + x)

Multiply (8 + -2x + x2) * (-6 + x)
fx = (8(-6 + x) + -2x * (-6 + x) + x2(-6 + x))
fx = ((-6 * 8 + x * 8) + -2x * (-6 + x) + x2(-6 + x))
fx = ((-48 + 8x) + -2x * (-6 + x) + x2(-6 + x))
fx = (-48 + 8x + (-6 * -2x + x * -2x) + x2(-6 + x))
fx = (-48 + 8x + (12x + -2x2) + x2(-6 + x))
fx = (-48 + 8x + 12x + -2x2 + (-6 * x2 + x * x2))
fx = (-48 + 8x + 12x + -2x2 + (-6x2 + x3))

Combine like terms: 8x + 12x = 20x
fx = (-48 + 20x + -2x2 + -6x2 + x3)

Combine like terms: -2x2 + -6x2 = -8x2
fx = (-48 + 20x + -8x2 + x3)

Solving
fx = -48 + 20x + -8x2 + 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 = -48x-1 + 20 + -8x + x2

Simplifying
f = -48x-1 + 20 + -8x + x2

Reorder the terms:
f = 20 + -48x-1 + -8x + x2

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