g^2+5g-36=0

Solution for g^2+5g-36=0 equation:

Simplifying
g2 + 5g + -36 = 0

Reorder the terms:
-36 + 5g + g2 = 0

Solving
-36 + 5g + g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(-9 + -1g)(4 + -1g) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(4 + -1g)' equal to zero and attempt to solve:

Simplifying
4 + -1g = 0

Solving
4 + -1g = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1g = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1g = 0 + -4
-1g = 0 + -4

Combine like terms: 0 + -4 = -4
-1g = -4

Divide each side by '-1'.
g = 4

Simplifying
g = 4
Solution
g = {-9, 4}