-2-8g-8g^2=0

Solution for -2-8g-8g^2=0 equation:

Simplifying
-2 + -8g + -8g2 = 0

Solving
-2 + -8g + -8g2 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), '-2'.
-2(1 + 4g + 4g2) = 0

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

Ignore the factor -2.
Subproblem 1
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
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 = {-0.5, -0.5}