g(x)=12(x+6)2-5

Solution for g(x)=12(x+6)2-5 equation:

Simplifying
g(x) = 12(x + 6) * 2 + -5

Multiply g * x
gx = 12(x + 6) * 2 + -5

Reorder the terms:
gx = 12(6 + x) * 2 + -5

Reorder the terms for easier multiplication:
gx = 12 * 2(6 + x) + -5

Multiply 12 * 2
gx = 24(6 + x) + -5
gx = (6 * 24 + x * 24) + -5
gx = (144 + 24x) + -5

Reorder the terms:
gx = 144 + -5 + 24x

Combine like terms: 144 + -5 = 139
gx = 139 + 24x

Solving
gx = 139 + 24x

Solving for variable 'g'.

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

Divide each side by 'x'.
g = 139x-1 + 24

Simplifying
g = 139x-1 + 24

Reorder the terms:
g = 24 + 139x-1