8(g+2)3(g-2)=76

Solution for 8(g+2)3(g-2)=76 equation:

Simplifying
8(g + 2) * 3(g + -2) = 76

Reorder the terms:
8(2 + g) * 3(g + -2) = 76

Reorder the terms:
8(2 + g) * 3(-2 + g) = 76

Reorder the terms for easier multiplication:
8 * 3(2 + g)(-2 + g) = 76

Multiply 8 * 3
24(2 + g)(-2 + g) = 76

Multiply (2 + g) * (-2 + g)
24(2(-2 + g) + g(-2 + g)) = 76
24((-2 * 2 + g * 2) + g(-2 + g)) = 76
24((-4 + 2g) + g(-2 + g)) = 76
24(-4 + 2g + (-2 * g + g * g)) = 76
24(-4 + 2g + (-2g + g2)) = 76

Combine like terms: 2g + -2g = 0
24(-4 + 0 + g2) = 76
24(-4 + g2) = 76
(-4 * 24 + g2 * 24) = 76
(-96 + 24g2) = 76

Solving
-96 + 24g2 = 76

Solving for variable 'g'.

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

Add '96' to each side of the equation.
-96 + 96 + 24g2 = 76 + 96

Combine like terms: -96 + 96 = 0
0 + 24g2 = 76 + 96
24g2 = 76 + 96

Combine like terms: 76 + 96 = 172
24g2 = 172

Divide each side by '24'.
g2 = 7.166666667

Simplifying
g2 = 7.166666667

Take the square root of each side:
g = {-2.677063067, 2.677063067}