g(-x)=-4(x^2+1)+2(-x-5)

Solution for g(-x)=-4(x^2+1)+2(-x-5) equation:

Simplifying
g(-1x) = -4(x2 + 1) + 2(-1x + -5)

Remove parenthesis around (-1x)
g * -1x = -4(x2 + 1) + 2(-1x + -5)

Reorder the terms for easier multiplication:
-1g * x = -4(x2 + 1) + 2(-1x + -5)

Multiply g * x
-1gx = -4(x2 + 1) + 2(-1x + -5)

Reorder the terms:
-1gx = -4(1 + x2) + 2(-1x + -5)
-1gx = (1 * -4 + x2 * -4) + 2(-1x + -5)
-1gx = (-4 + -4x2) + 2(-1x + -5)

Reorder the terms:
-1gx = -4 + -4x2 + 2(-5 + -1x)
-1gx = -4 + -4x2 + (-5 * 2 + -1x * 2)
-1gx = -4 + -4x2 + (-10 + -2x)

Reorder the terms:
-1gx = -4 + -10 + -2x + -4x2

Combine like terms: -4 + -10 = -14
-1gx = -14 + -2x + -4x2

Solving
-1gx = -14 + -2x + -4x2

Solving for variable 'g'.

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

Divide each side by '-1x'.
g = 14x-1 + 2 + 4x

Simplifying
g = 14x-1 + 2 + 4x

Reorder the terms:
g = 2 + 14x-1 + 4x