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

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


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

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

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

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

Multiply (2 + 2x) * (-4 + 3x)
fx = (2(-4 + 3x) + 2x * (-4 + 3x))
fx = ((-4 * 2 + 3x * 2) + 2x * (-4 + 3x))
fx = ((-8 + 6x) + 2x * (-4 + 3x))
fx = (-8 + 6x + (-4 * 2x + 3x * 2x))
fx = (-8 + 6x + (-8x + 6x2))

Combine like terms: 6x + -8x = -2x
fx = (-8 + -2x + 6x2)

Solving
fx = -8 + -2x + 6x2

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 + 6x

Simplifying
f = -8x-1 + -2 + 6x

Reorder the terms:
f = -2 + -8x-1 + 6x

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