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.
(-26 + -1x)(4 + -1x) = 0

Subproblem 1
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
Subproblem 2
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
Solution
x = {-26, 4}