x^2-26x+169=49

Solution for x^2-26x+169=49 equation:

Simplifying
x2 + -26x + 169 = 49

Reorder the terms:
169 + -26x + x2 = 49

Solving
169 + -26x + x2 = 49

Solving for variable 'x'.

Reorder the terms:
169 + -49 + -26x + x2 = 49 + -49

Combine like terms: 169 + -49 = 120
120 + -26x + x2 = 49 + -49

Combine like terms: 49 + -49 = 0
120 + -26x + x2 = 0

Factor a trinomial.
(6 + -1x)(20 + -1x) = 0

Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve:

Simplifying
20 + -1x = 0

Solving
20 + -1x = 0

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

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

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

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

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

Simplifying
x = 20
Solution
x = {6, 20}