(-5g)(2g)(g+6)=0

Solution for (-5g)(2g)(g+6)=0 equation:

Simplifying
(-5g)(2g)(g + 6) = 0

Remove parenthesis around (-5g)
-5g(2g)(g + 6) = 0

Remove parenthesis around (2g)
-5g * 2g(g + 6) = 0

Reorder the terms:
-5g * 2g(6 + g) = 0

Reorder the terms for easier multiplication:
-5 * 2g * g(6 + g) = 0

Multiply -5 * 2
-10g * g(6 + g) = 0

Multiply g * g
-10g2(6 + g) = 0
(6 * -10g2 + g * -10g2) = 0
(-60g2 + -10g3) = 0

Solving
-60g2 + -10g3 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), '-10g2'.
-10g2(6 + g) = 0

Ignore the factor -10.
Subproblem 1
Set the factor 'g2' equal to zero and attempt to solve:

Simplifying
g2 = 0

Solving
g2 = 0

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

Simplifying
g2 = 0

Take the square root of each side:
g = {0}
Subproblem 2
Set the factor '(6 + g)' equal to zero and attempt to solve:

Simplifying
6 + g = 0

Solving
6 + g = 0

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

Add '-6' to each side of the equation.
6 + -6 + g = 0 + -6

Combine like terms: 6 + -6 = 0
0 + g = 0 + -6
g = 0 + -6

Combine like terms: 0 + -6 = -6
g = -6

Simplifying
g = -6
Solution
g = {0, -6}