-6g(8g+1)=0

Solution for -6g(8g+1)=0 equation:

Simplifying
-6g(8g + 1) = 0

Reorder the terms:
-6g(1 + 8g) = 0
(1 * -6g + 8g * -6g) = 0
(-6g + -48g2) = 0

Solving
-6g + -48g2 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), '-6g'.
-6g(1 + 8g) = 0

Ignore the factor -6.
Subproblem 1
Set the factor 'g' equal to zero and attempt to solve:

Simplifying
g = 0

Solving
g = 0

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

Simplifying
g = 0
Subproblem 2
Set the factor '(1 + 8g)' equal to zero and attempt to solve:

Simplifying
1 + 8g = 0

Solving
1 + 8g = 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 + 8g = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 8g = 0 + -1
8g = 0 + -1

Combine like terms: 0 + -1 = -1
8g = -1

Divide each side by '8'.
g = -0.125

Simplifying
g = -0.125
Solution
g = {0, -0.125}