g^2+4g-32=0

Solution for g^2+4g-32=0 equation:

Simplifying
g2 + 4g + -32 = 0

Reorder the terms:
-32 + 4g + g2 = 0

Solving
-32 + 4g + g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(-8 + -1g)(4 + -1g) = 0

Subproblem 1
Set the factor '(-8 + -1g)' equal to zero and attempt to solve:

Simplifying
-8 + -1g = 0

Solving
-8 + -1g = 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 + -1g = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1g = 0 + 8
-1g = 0 + 8

Combine like terms: 0 + 8 = 8
-1g = 8

Divide each side by '-1'.
g = -8

Simplifying
g = -8
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 = {-8, 4}