x^2-65x+244=0

Solution for x^2-65x+244=0 equation:

Simplifying
x2 + -65x + 244 = 0

Reorder the terms:
244 + -65x + x2 = 0

Solving
244 + -65x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + -1x)(61 + -1x) = 0

Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Subproblem 2
Set the factor '(61 + -1x)' equal to zero and attempt to solve:

Simplifying
61 + -1x = 0

Solving
61 + -1x = 0

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

Add '-61' to each side of the equation.
61 + -61 + -1x = 0 + -61

Combine like terms: 61 + -61 = 0
0 + -1x = 0 + -61
-1x = 0 + -61

Combine like terms: 0 + -61 = -61
-1x = -61

Divide each side by '-1'.
x = 61

Simplifying
x = 61
Solution
x = {4, 61}