380=n^2-n

Solution for 380=n^2-n equation:

Simplifying
380 = n2 + -1n

Reorder the terms:
380 = -1n + n2

Solving
380 = -1n + n2

Solving for variable 'n'.

Reorder the terms:
380 + n + -1n2 = -1n + n + n2 + -1n2

Combine like terms: -1n + n = 0
380 + n + -1n2 = 0 + n2 + -1n2
380 + n + -1n2 = n2 + -1n2

Combine like terms: n2 + -1n2 = 0
380 + n + -1n2 = 0

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

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

Simplifying
20 + -1n = 0

Solving
20 + -1n = 0

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

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

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

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

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

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

Simplifying
19 + n = 0

Solving
19 + n = 0

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

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

Combine like terms: 19 + -19 = 0
0 + n = 0 + -19
n = 0 + -19

Combine like terms: 0 + -19 = -19
n = -19

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