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

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


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

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

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

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

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

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

Solving
fx = -8 + -2x + x2

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -8x-1 + -2 + x

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

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

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