=-15g-1g^2

Solution for =-15g-1g^2 equation:

Simplifying
0 = -15g + -1g2

Solving
0 = -15g + -1g2

Solving for variable 'g'.
Remove the zero:
15g + g2 = -15g + -1g2 + 15g + g2

Reorder the terms:
15g + g2 = -15g + 15g + -1g2 + g2

Combine like terms: -15g + 15g = 0
15g + g2 = 0 + -1g2 + g2
15g + g2 = -1g2 + g2

Combine like terms: -1g2 + g2 = 0
15g + g2 = 0

Factor out the Greatest Common Factor (GCF), 'g'.
g(15 + g) = 0

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 '(15 + g)' equal to zero and attempt to solve:

Simplifying
15 + g = 0

Solving
15 + g = 0

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

Add '-15' to each side of the equation.
15 + -15 + g = 0 + -15

Combine like terms: 15 + -15 = 0
0 + g = 0 + -15
g = 0 + -15

Combine like terms: 0 + -15 = -15
g = -15

Simplifying
g = -15
Solution
g = {0, -15}