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

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


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

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

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

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

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

Reorder the terms:
fx = (12 + -6x + -2x + -6x2 + x2 + x3)

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

Combine like terms: -6x2 + x2 = -5x2
fx = (12 + -8x + -5x2 + x3)

Solving
fx = 12 + -8x + -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 = 12x-1 + -8 + -5x + x2

Simplifying
f = 12x-1 + -8 + -5x + x2

Reorder the terms:
f = -8 + 12x-1 + -5x + x2

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