f(x)=(x^2-18x+81)(x-9)

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Solution for f(x)=(x^2-18x+81)(x-9) equation: 


Simplifying
f(x) = (x2 + -18x + 81)(x + -9)

Multiply f * x
fx = (x2 + -18x + 81)(x + -9)

Reorder the terms:
fx = (81 + -18x + x2)(x + -9)

Reorder the terms:
fx = (81 + -18x + x2)(-9 + x)

Multiply (81 + -18x + x2) * (-9 + x)
fx = (81(-9 + x) + -18x * (-9 + x) + x2(-9 + x))
fx = ((-9 * 81 + x * 81) + -18x * (-9 + x) + x2(-9 + x))
fx = ((-729 + 81x) + -18x * (-9 + x) + x2(-9 + x))
fx = (-729 + 81x + (-9 * -18x + x * -18x) + x2(-9 + x))
fx = (-729 + 81x + (162x + -18x2) + x2(-9 + x))
fx = (-729 + 81x + 162x + -18x2 + (-9 * x2 + x * x2))
fx = (-729 + 81x + 162x + -18x2 + (-9x2 + x3))

Combine like terms: 81x + 162x = 243x
fx = (-729 + 243x + -18x2 + -9x2 + x3)

Combine like terms: -18x2 + -9x2 = -27x2
fx = (-729 + 243x + -27x2 + x3)

Solving
fx = -729 + 243x + -27x2 + 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 = -729x-1 + 243 + -27x + x2

Simplifying
f = -729x-1 + 243 + -27x + x2

Reorder the terms:
f = 243 + -729x-1 + -27x + x2

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