f(x)=(x^2-16x+64)(x-2)

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Solution for f(x)=(x^2-16x+64)(x-2) equation: 


Simplifying
f(x) = (x2 + -16x + 64)(x + -2)

Multiply f * x
fx = (x2 + -16x + 64)(x + -2)

Reorder the terms:
fx = (64 + -16x + x2)(x + -2)

Reorder the terms:
fx = (64 + -16x + x2)(-2 + x)

Multiply (64 + -16x + x2) * (-2 + x)
fx = (64(-2 + x) + -16x * (-2 + x) + x2(-2 + x))
fx = ((-2 * 64 + x * 64) + -16x * (-2 + x) + x2(-2 + x))
fx = ((-128 + 64x) + -16x * (-2 + x) + x2(-2 + x))
fx = (-128 + 64x + (-2 * -16x + x * -16x) + x2(-2 + x))
fx = (-128 + 64x + (32x + -16x2) + x2(-2 + x))
fx = (-128 + 64x + 32x + -16x2 + (-2 * x2 + x * x2))
fx = (-128 + 64x + 32x + -16x2 + (-2x2 + x3))

Combine like terms: 64x + 32x = 96x
fx = (-128 + 96x + -16x2 + -2x2 + x3)

Combine like terms: -16x2 + -2x2 = -18x2
fx = (-128 + 96x + -18x2 + x3)

Solving
fx = -128 + 96x + -18x2 + 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 = -128x-1 + 96 + -18x + x2

Simplifying
f = -128x-1 + 96 + -18x + x2

Reorder the terms:
f = 96 + -128x-1 + -18x + x2

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