f(x)=2(x-8)(x+4)

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Solution for f(x)=2(x-8)(x+4) equation: 


Simplifying
f(x) = 2(x + -8)(x + 4)

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

Reorder the terms:
fx = 2(-8 + x)(x + 4)

Reorder the terms:
fx = 2(-8 + x)(4 + x)

Multiply (-8 + x) * (4 + x)
fx = 2(-8(4 + x) + x(4 + x))
fx = 2((4 * -8 + x * -8) + x(4 + x))
fx = 2((-32 + -8x) + x(4 + x))
fx = 2(-32 + -8x + (4 * x + x * x))
fx = 2(-32 + -8x + (4x + x2))

Combine like terms: -8x + 4x = -4x
fx = 2(-32 + -4x + x2)
fx = (-32 * 2 + -4x * 2 + x2 * 2)
fx = (-64 + -8x + 2x2)

Solving
fx = -64 + -8x + 2x2

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 + -8 + 2x

Simplifying
f = -64x-1 + -8 + 2x

Reorder the terms:
f = -8 + -64x-1 + 2x

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