8g^2+76g+36=0

Solution for 8g^2+76g+36=0 equation:

Simplifying
8g2 + 76g + 36 = 0

Reorder the terms:
36 + 76g + 8g2 = 0

Solving
36 + 76g + 8g2 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), '4'.
4(9 + 19g + 2g2) = 0

Factor a trinomial.
4((9 + g)(1 + 2g)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(9 + g)' equal to zero and attempt to solve:

Simplifying
9 + g = 0

Solving
9 + g = 0

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

Add '-9' to each side of the equation.
9 + -9 + g = 0 + -9

Combine like terms: 9 + -9 = 0
0 + g = 0 + -9
g = 0 + -9

Combine like terms: 0 + -9 = -9
g = -9

Simplifying
g = -9
Subproblem 2
Set the factor '(1 + 2g)' equal to zero and attempt to solve:

Simplifying
1 + 2g = 0

Solving
1 + 2g = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2g = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2g = 0 + -1
2g = 0 + -1

Combine like terms: 0 + -1 = -1
2g = -1

Divide each side by '2'.
g = -0.5

Simplifying
g = -0.5
Solution
g = {-9, -0.5}