x^2-82x+781=0

Solution for x^2-82x+781=0 equation:

Simplifying
x2 + -82x + 781 = 0

Reorder the terms:
781 + -82x + x2 = 0

Solving
781 + -82x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(11 + -1x)(71 + -1x) = 0

Subproblem 1
Set the factor '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Subproblem 2
Set the factor '(71 + -1x)' equal to zero and attempt to solve:

Simplifying
71 + -1x = 0

Solving
71 + -1x = 0

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

Add '-71' to each side of the equation.
71 + -71 + -1x = 0 + -71

Combine like terms: 71 + -71 = 0
0 + -1x = 0 + -71
-1x = 0 + -71

Combine like terms: 0 + -71 = -71
-1x = -71

Divide each side by '-1'.
x = 71

Simplifying
x = 71
Solution
x = {11, 71}