x^2-22x+121=225

Solution for x^2-22x+121=225 equation:

Simplifying
x2 + -22x + 121 = 225

Reorder the terms:
121 + -22x + x2 = 225

Solving
121 + -22x + x2 = 225

Solving for variable 'x'.

Reorder the terms:
121 + -225 + -22x + x2 = 225 + -225

Combine like terms: 121 + -225 = -104
-104 + -22x + x2 = 225 + -225

Combine like terms: 225 + -225 = 0
-104 + -22x + x2 = 0

Factor a trinomial.
(-4 + -1x)(26 + -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 '(26 + -1x)' equal to zero and attempt to solve:

Simplifying
26 + -1x = 0

Solving
26 + -1x = 0

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

Add '-26' to each side of the equation.
26 + -26 + -1x = 0 + -26

Combine like terms: 26 + -26 = 0
0 + -1x = 0 + -26
-1x = 0 + -26

Combine like terms: 0 + -26 = -26
-1x = -26

Divide each side by '-1'.
x = 26

Simplifying
x = 26
Solution
x = {-4, 26}