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

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


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

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

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

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

Multiply (-4 + -3x + x2) * (-1 + x2)
gx = (-4(-1 + x2) + -3x * (-1 + x2) + x2(-1 + x2))
gx = ((-1 * -4 + x2 * -4) + -3x * (-1 + x2) + x2(-1 + x2))
gx = ((4 + -4x2) + -3x * (-1 + x2) + x2(-1 + x2))
gx = (4 + -4x2 + (-1 * -3x + x2 * -3x) + x2(-1 + x2))
gx = (4 + -4x2 + (3x + -3x3) + x2(-1 + x2))
gx = (4 + -4x2 + 3x + -3x3 + (-1 * x2 + x2 * x2))
gx = (4 + -4x2 + 3x + -3x3 + (-1x2 + x4))

Reorder the terms:
gx = (4 + 3x + -4x2 + -1x2 + -3x3 + x4)

Combine like terms: -4x2 + -1x2 = -5x2
gx = (4 + 3x + -5x2 + -3x3 + x4)

Solving
gx = 4 + 3x + -5x2 + -3x3 + x4

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 + -5x + -3x2 + x3

Simplifying
g = 4x-1 + 3 + -5x + -3x2 + x3

Reorder the terms:
g = 3 + 4x-1 + -5x + -3x2 + x3

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