f(x)=8(x+4)(3x-2)

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Solution for f(x)=8(x+4)(3x-2) equation: 


Simplifying
f(x) = 8(x + 4)(3x + -2)

Multiply f * x
fx = 8(x + 4)(3x + -2)

Reorder the terms:
fx = 8(4 + x)(3x + -2)

Reorder the terms:
fx = 8(4 + x)(-2 + 3x)

Multiply (4 + x) * (-2 + 3x)
fx = 8(4(-2 + 3x) + x(-2 + 3x))
fx = 8((-2 * 4 + 3x * 4) + x(-2 + 3x))
fx = 8((-8 + 12x) + x(-2 + 3x))
fx = 8(-8 + 12x + (-2 * x + 3x * x))
fx = 8(-8 + 12x + (-2x + 3x2))

Combine like terms: 12x + -2x = 10x
fx = 8(-8 + 10x + 3x2)
fx = (-8 * 8 + 10x * 8 + 3x2 * 8)
fx = (-64 + 80x + 24x2)

Solving
fx = -64 + 80x + 24x2

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 + 80 + 24x

Simplifying
f = -64x-1 + 80 + 24x

Reorder the terms:
f = 80 + -64x-1 + 24x

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