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

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

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

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

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

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

Multiply (3 + x2) * (-4 + x2)
gx = -1(3(-4 + x2) + x2(-4 + x2))
gx = -1((-4 * 3 + x2 * 3) + x2(-4 + x2))
gx = -1((-12 + 3x2) + x2(-4 + x2))
gx = -1(-12 + 3x2 + (-4 * x2 + x2 * x2))
gx = -1(-12 + 3x2 + (-4x2 + x4))

Combine like terms: 3x2 + -4x2 = -1x2
gx = -1(-12 + -1x2 + x4)
gx = (-12 * -1 + -1x2 * -1 + x4 * -1)
gx = (12 + 1x2 + -1x4)

Solving
gx = 12 + 1x2 + -1x4

Solving for variable 'g'.

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

Divide each side by 'x'.
g = 12x-1 + x + -1x3

Simplifying
g = 12x-1 + x + -1x3