0=x^2+x-380

Solution for 0=x^2+x-380 equation:

Simplifying
0 = x2 + x + -380

Reorder the terms:
0 = -380 + x + x2

Solving
0 = -380 + x + x2

Solving for variable 'x'.

Combine like terms: 0 + 380 = 380
380 + -1x + -1x2 = -380 + x + x2 + 380 + -1x + -1x2

Reorder the terms:
380 + -1x + -1x2 = -380 + 380 + x + -1x + x2 + -1x2

Combine like terms: -380 + 380 = 0
380 + -1x + -1x2 = 0 + x + -1x + x2 + -1x2
380 + -1x + -1x2 = x + -1x + x2 + -1x2

Combine like terms: x + -1x = 0
380 + -1x + -1x2 = 0 + x2 + -1x2
380 + -1x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
380 + -1x + -1x2 = 0

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

Subproblem 1
Set the factor '(19 + -1x)' equal to zero and attempt to solve:

Simplifying
19 + -1x = 0

Solving
19 + -1x = 0

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

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

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

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

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

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

Simplifying
20 + x = 0

Solving
20 + x = 0

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

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

Combine like terms: 20 + -20 = 0
0 + x = 0 + -20
x = 0 + -20

Combine like terms: 0 + -20 = -20
x = -20

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