x^2-81x+380=

Solution for x^2-81x+380= equation:

Simplifying
x2 + -81x + 380 = 0

Reorder the terms:
380 + -81x + x2 = 0

Solving
380 + -81x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + -1x)(76 + -1x) = 0

Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Subproblem 2
Set the factor '(76 + -1x)' equal to zero and attempt to solve:

Simplifying
76 + -1x = 0

Solving
76 + -1x = 0

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

Add '-76' to each side of the equation.
76 + -76 + -1x = 0 + -76

Combine like terms: 76 + -76 = 0
0 + -1x = 0 + -76
-1x = 0 + -76

Combine like terms: 0 + -76 = -76
-1x = -76

Divide each side by '-1'.
x = 76

Simplifying
x = 76
Solution
x = {5, 76}