g^2+g-38=4

Solution for g^2+g-38=4 equation:

Simplifying
g2 + g + -38 = 4

Reorder the terms:
-38 + g + g2 = 4

Solving
-38 + g + g2 = 4

Solving for variable 'g'.

Reorder the terms:
-38 + -4 + g + g2 = 4 + -4

Combine like terms: -38 + -4 = -42
-42 + g + g2 = 4 + -4

Combine like terms: 4 + -4 = 0
-42 + g + g2 = 0

Factor a trinomial.
(-7 + -1g)(6 + -1g) = 0

Subproblem 1
Set the factor '(-7 + -1g)' equal to zero and attempt to solve:

Simplifying
-7 + -1g = 0

Solving
-7 + -1g = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1g = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1g = 0 + 7
-1g = 0 + 7

Combine like terms: 0 + 7 = 7
-1g = 7

Divide each side by '-1'.
g = -7

Simplifying
g = -7
Subproblem 2
Set the factor '(6 + -1g)' equal to zero and attempt to solve:

Simplifying
6 + -1g = 0

Solving
6 + -1g = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1g = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1g = 0 + -6
-1g = 0 + -6

Combine like terms: 0 + -6 = -6
-1g = -6

Divide each side by '-1'.
g = 6

Simplifying
g = 6
Solution
g = {-7, 6}