f(x)=(2x^2+3x-4)(2x-1)

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Solution for f(x)=(2x^2+3x-4)(2x-1) equation: 


Simplifying
f(x) = (2x2 + 3x + -4)(2x + -1)

Multiply f * x
fx = (2x2 + 3x + -4)(2x + -1)

Reorder the terms:
fx = (-4 + 3x + 2x2)(2x + -1)

Reorder the terms:
fx = (-4 + 3x + 2x2)(-1 + 2x)

Multiply (-4 + 3x + 2x2) * (-1 + 2x)
fx = (-4(-1 + 2x) + 3x * (-1 + 2x) + 2x2 * (-1 + 2x))
fx = ((-1 * -4 + 2x * -4) + 3x * (-1 + 2x) + 2x2 * (-1 + 2x))
fx = ((4 + -8x) + 3x * (-1 + 2x) + 2x2 * (-1 + 2x))
fx = (4 + -8x + (-1 * 3x + 2x * 3x) + 2x2 * (-1 + 2x))
fx = (4 + -8x + (-3x + 6x2) + 2x2 * (-1 + 2x))
fx = (4 + -8x + -3x + 6x2 + (-1 * 2x2 + 2x * 2x2))
fx = (4 + -8x + -3x + 6x2 + (-2x2 + 4x3))

Combine like terms: -8x + -3x = -11x
fx = (4 + -11x + 6x2 + -2x2 + 4x3)

Combine like terms: 6x2 + -2x2 = 4x2
fx = (4 + -11x + 4x2 + 4x3)

Solving
fx = 4 + -11x + 4x2 + 4x3

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 4x-1 + -11 + 4x + 4x2

Simplifying
f = 4x-1 + -11 + 4x + 4x2

Reorder the terms:
f = -11 + 4x-1 + 4x + 4x2

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