g^2+7g=144

Solution for g^2+7g=144 equation:

Simplifying
g2 + 7g = 144

Reorder the terms:
7g + g2 = 144

Solving
7g + g2 = 144

Solving for variable 'g'.

Reorder the terms:
-144 + 7g + g2 = 144 + -144

Combine like terms: 144 + -144 = 0
-144 + 7g + g2 = 0

Factor a trinomial.
(-16 + -1g)(9 + -1g) = 0

Subproblem 1
Set the factor '(-16 + -1g)' equal to zero and attempt to solve:

Simplifying
-16 + -1g = 0

Solving
-16 + -1g = 0

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

Add '16' to each side of the equation.
-16 + 16 + -1g = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -1g = 0 + 16
-1g = 0 + 16

Combine like terms: 0 + 16 = 16
-1g = 16

Divide each side by '-1'.
g = -16

Simplifying
g = -16
Subproblem 2
Set the factor '(9 + -1g)' equal to zero and attempt to solve:

Simplifying
9 + -1g = 0

Solving
9 + -1g = 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 + -1g = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1g = 0 + -9
-1g = 0 + -9

Combine like terms: 0 + -9 = -9
-1g = -9

Divide each side by '-1'.
g = 9

Simplifying
g = 9
Solution
g = {-16, 9}