g^2+15g=100

Solution for g^2+15g=100 equation:

Simplifying
g2 + 15g = 100

Reorder the terms:
15g + g2 = 100

Solving
15g + g2 = 100

Solving for variable 'g'.

Reorder the terms:
-100 + 15g + g2 = 100 + -100

Combine like terms: 100 + -100 = 0
-100 + 15g + g2 = 0

Factor a trinomial.
(-20 + -1g)(5 + -1g) = 0

Subproblem 1
Set the factor '(-20 + -1g)' equal to zero and attempt to solve:

Simplifying
-20 + -1g = 0

Solving
-20 + -1g = 0

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

Add '20' to each side of the equation.
-20 + 20 + -1g = 0 + 20

Combine like terms: -20 + 20 = 0
0 + -1g = 0 + 20
-1g = 0 + 20

Combine like terms: 0 + 20 = 20
-1g = 20

Divide each side by '-1'.
g = -20

Simplifying
g = -20
Subproblem 2
Set the factor '(5 + -1g)' equal to zero and attempt to solve:

Simplifying
5 + -1g = 0

Solving
5 + -1g = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1g = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1g = 0 + -5
-1g = 0 + -5

Combine like terms: 0 + -5 = -5
-1g = -5

Divide each side by '-1'.
g = 5

Simplifying
g = 5
Solution
g = {-20, 5}