f(x)=2(x+2)(x-4)4

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Solution for f(x)=2(x+2)(x-4)4 equation: 


Simplifying
f(x) = 2(x + 2)(x + -4) * 4

Multiply f * x
fx = 2(x + 2)(x + -4) * 4

Reorder the terms:
fx = 2(2 + x)(x + -4) * 4

Reorder the terms:
fx = 2(2 + x)(-4 + x) * 4

Reorder the terms for easier multiplication:
fx = 2 * 4(2 + x)(-4 + x)

Multiply 2 * 4
fx = 8(2 + x)(-4 + x)

Multiply (2 + x) * (-4 + x)
fx = 8(2(-4 + x) + x(-4 + x))
fx = 8((-4 * 2 + x * 2) + x(-4 + x))
fx = 8((-8 + 2x) + x(-4 + x))
fx = 8(-8 + 2x + (-4 * x + x * x))
fx = 8(-8 + 2x + (-4x + x2))

Combine like terms: 2x + -4x = -2x
fx = 8(-8 + -2x + x2)
fx = (-8 * 8 + -2x * 8 + x2 * 8)
fx = (-64 + -16x + 8x2)

Solving
fx = -64 + -16x + 8x2

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Divide each side by 'x'.
f = -64x-1 + -16 + 8x

Simplifying
f = -64x-1 + -16 + 8x

Reorder the terms:
f = -16 + -64x-1 + 8x

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