x^2-64x+943=0

Solution for x^2-64x+943=0 equation:

Simplifying
x2 + -64x + 943 = 0

Reorder the terms:
943 + -64x + x2 = 0

Solving
943 + -64x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(23 + -1x)(41 + -1x) = 0

Subproblem 1
Set the factor '(23 + -1x)' equal to zero and attempt to solve:

Simplifying
23 + -1x = 0

Solving
23 + -1x = 0

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

Add '-23' to each side of the equation.
23 + -23 + -1x = 0 + -23

Combine like terms: 23 + -23 = 0
0 + -1x = 0 + -23
-1x = 0 + -23

Combine like terms: 0 + -23 = -23
-1x = -23

Divide each side by '-1'.
x = 23

Simplifying
x = 23
Subproblem 2
Set the factor '(41 + -1x)' equal to zero and attempt to solve:

Simplifying
41 + -1x = 0

Solving
41 + -1x = 0

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

Add '-41' to each side of the equation.
41 + -41 + -1x = 0 + -41

Combine like terms: 41 + -41 = 0
0 + -1x = 0 + -41
-1x = 0 + -41

Combine like terms: 0 + -41 = -41
-1x = -41

Divide each side by '-1'.
x = 41

Simplifying
x = 41
Solution
x = {23, 41}