g^2+9g=90

Solution for g^2+9g=90 equation:

Simplifying
g2 + 9g = 90

Reorder the terms:
9g + g2 = 90

Solving
9g + g2 = 90

Solving for variable 'g'.

Reorder the terms:
-90 + 9g + g2 = 90 + -90

Combine like terms: 90 + -90 = 0
-90 + 9g + g2 = 0

Factor a trinomial.
(-15 + -1g)(6 + -1g) = 0

Subproblem 1
Set the factor '(-15 + -1g)' equal to zero and attempt to solve:

Simplifying
-15 + -1g = 0

Solving
-15 + -1g = 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 + -1g = 0 + 15

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

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

Divide each side by '-1'.
g = -15

Simplifying
g = -15
Subproblem 2
Set the factor '(6 + -1g)' equal to zero and attempt to solve:

Simplifying
6 + -1g = 0

Solving
6 + -1g = 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 + -1g = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1g = 0 + -6
-1g = 0 + -6

Combine like terms: 0 + -6 = -6
-1g = -6

Divide each side by '-1'.
g = 6

Simplifying
g = 6
Solution
g = {-15, 6}