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

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


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

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

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

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

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

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

Combine like terms: -8x + 6x = -2x
fx = x(-8 + -2x + 6x2) + -3
fx = (-8 * x + -2x * x + 6x2 * x) + -3
fx = (-8x + -2x2 + 6x3) + -3

Reorder the terms:
fx = -3 + -8x + -2x2 + 6x3

Solving
fx = -3 + -8x + -2x2 + 6x3

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -3x-1 + -8 + -2x + 6x2

Simplifying
f = -3x-1 + -8 + -2x + 6x2

Reorder the terms:
f = -8 + -3x-1 + -2x + 6x2

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