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

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


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

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

Reorder the terms:
fx = 4x(-3 + 2x) + (2x + -3)
fx = (-3 * 4x + 2x * 4x) + (2x + -3)
fx = (-12x + 8x2) + (2x + -3)

Reorder the terms:
fx = -12x + 8x2 + (-3 + 2x)

Remove parenthesis around (-3 + 2x)
fx = -12x + 8x2 + -3 + 2x

Reorder the terms:
fx = -3 + -12x + 2x + 8x2

Combine like terms: -12x + 2x = -10x
fx = -3 + -10x + 8x2

Solving
fx = -3 + -10x + 8x2

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 + -10 + 8x

Simplifying
f = -3x-1 + -10 + 8x

Reorder the terms:
f = -10 + -3x-1 + 8x

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