g^2+17g=-72

Solution for g^2+17g=-72 equation:

Simplifying
g2 + 17g = -72

Reorder the terms:
17g + g2 = -72

Solving
17g + g2 = -72

Solving for variable 'g'.

Reorder the terms:
72 + 17g + g2 = -72 + 72

Combine like terms: -72 + 72 = 0
72 + 17g + g2 = 0

Factor a trinomial.
(9 + g)(8 + g) = 0

Subproblem 1
Set the factor '(9 + g)' equal to zero and attempt to solve:

Simplifying
9 + g = 0

Solving
9 + g = 0

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

Add '-9' to each side of the equation.
9 + -9 + g = 0 + -9

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

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

Simplifying
g = -9
Subproblem 2
Set the factor '(8 + g)' equal to zero and attempt to solve:

Simplifying
8 + g = 0

Solving
8 + g = 0

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

Add '-8' to each side of the equation.
8 + -8 + g = 0 + -8

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

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

Simplifying
g = -8
Solution
g = {-9, -8}