g^2+5g=150

Solution for g^2+5g=150 equation:

Simplifying
g2 + 5g = 150

Reorder the terms:
5g + g2 = 150

Solving
5g + g2 = 150

Solving for variable 'g'.

Reorder the terms:
-150 + 5g + g2 = 150 + -150

Combine like terms: 150 + -150 = 0
-150 + 5g + g2 = 0

Factor a trinomial.
(-15 + -1g)(10 + -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 '(10 + -1g)' equal to zero and attempt to solve:

Simplifying
10 + -1g = 0

Solving
10 + -1g = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1g = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1g = 0 + -10
-1g = 0 + -10

Combine like terms: 0 + -10 = -10
-1g = -10

Divide each side by '-1'.
g = 10

Simplifying
g = 10
Solution
g = {-15, 10}