g(x)=(x-1)(3x^2-x-4)

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


Simplifying
g(x) = (x + -1)(3x2 + -1x + -4)

Multiply g * x
gx = (x + -1)(3x2 + -1x + -4)

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

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

Multiply (-1 + x) * (-4 + -1x + 3x2)
gx = (-1(-4 + -1x + 3x2) + x(-4 + -1x + 3x2))
gx = ((-4 * -1 + -1x * -1 + 3x2 * -1) + x(-4 + -1x + 3x2))
gx = ((4 + 1x + -3x2) + x(-4 + -1x + 3x2))
gx = (4 + 1x + -3x2 + (-4 * x + -1x * x + 3x2 * x))
gx = (4 + 1x + -3x2 + (-4x + -1x2 + 3x3))

Reorder the terms:
gx = (4 + 1x + -4x + -3x2 + -1x2 + 3x3)

Combine like terms: 1x + -4x = -3x
gx = (4 + -3x + -3x2 + -1x2 + 3x3)

Combine like terms: -3x2 + -1x2 = -4x2
gx = (4 + -3x + -4x2 + 3x3)

Solving
gx = 4 + -3x + -4x2 + 3x3

Solving for variable 'g'.

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

Divide each side by 'x'.
g = 4x-1 + -3 + -4x + 3x2

Simplifying
g = 4x-1 + -3 + -4x + 3x2

Reorder the terms:
g = -3 + 4x-1 + -4x + 3x2

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