g^2+g=380

Solution for g^2+g=380 equation:

Simplifying
g2 + g = 380

Reorder the terms:
g + g2 = 380

Solving
g + g2 = 380

Solving for variable 'g'.

Reorder the terms:
-380 + g + g2 = 380 + -380

Combine like terms: 380 + -380 = 0
-380 + g + g2 = 0

Factor a trinomial.
(-20 + -1g)(19 + -1g) = 0

Subproblem 1
Set the factor '(-20 + -1g)' equal to zero and attempt to solve:

Simplifying
-20 + -1g = 0

Solving
-20 + -1g = 0

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

Add '20' to each side of the equation.
-20 + 20 + -1g = 0 + 20

Combine like terms: -20 + 20 = 0
0 + -1g = 0 + 20
-1g = 0 + 20

Combine like terms: 0 + 20 = 20
-1g = 20

Divide each side by '-1'.
g = -20

Simplifying
g = -20
Subproblem 2
Set the factor '(19 + -1g)' equal to zero and attempt to solve:

Simplifying
19 + -1g = 0

Solving
19 + -1g = 0

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

Add '-19' to each side of the equation.
19 + -19 + -1g = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -1g = 0 + -19
-1g = 0 + -19

Combine like terms: 0 + -19 = -19
-1g = -19

Divide each side by '-1'.
g = 19

Simplifying
g = 19
Solution
g = {-20, 19}