f(x)=(x+4)(x-4)(x-8)

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Solution for f(x)=(x+4)(x-4)(x-8) equation: 


Simplifying
f(x) = (x + 4)(x + -4)(x + -8)

Multiply f * x
fx = (x + 4)(x + -4)(x + -8)

Reorder the terms:
fx = (4 + x)(x + -4)(x + -8)

Reorder the terms:
fx = (4 + x)(-4 + x)(x + -8)

Reorder the terms:
fx = (4 + x)(-4 + x)(-8 + x)

Multiply (4 + x) * (-4 + x)
fx = (4(-4 + x) + x(-4 + x))(-8 + x)
fx = ((-4 * 4 + x * 4) + x(-4 + x))(-8 + x)
fx = ((-16 + 4x) + x(-4 + x))(-8 + x)
fx = (-16 + 4x + (-4 * x + x * x))(-8 + x)
fx = (-16 + 4x + (-4x + x2))(-8 + x)

Combine like terms: 4x + -4x = 0
fx = (-16 + 0 + x2)(-8 + x)
fx = (-16 + x2)(-8 + x)

Multiply (-16 + x2) * (-8 + x)
fx = (-16(-8 + x) + x2(-8 + x))
fx = ((-8 * -16 + x * -16) + x2(-8 + x))
fx = ((128 + -16x) + x2(-8 + x))
fx = (128 + -16x + (-8 * x2 + x * x2))
fx = (128 + -16x + (-8x2 + x3))
fx = (128 + -16x + -8x2 + x3)

Solving
fx = 128 + -16x + -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 = 128x-1 + -16 + -8x + x2

Simplifying
f = 128x-1 + -16 + -8x + x2

Reorder the terms:
f = -16 + 128x-1 + -8x + x2

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