x^2-22x+121=100

Solution for x^2-22x+121=100 equation:

Simplifying
x2 + -22x + 121 = 100

Reorder the terms:
121 + -22x + x2 = 100

Solving
121 + -22x + x2 = 100

Solving for variable 'x'.

Reorder the terms:
121 + -100 + -22x + x2 = 100 + -100

Combine like terms: 121 + -100 = 21
21 + -22x + x2 = 100 + -100

Combine like terms: 100 + -100 = 0
21 + -22x + x2 = 0

Factor a trinomial.
(1 + -1x)(21 + -1x) = 0

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Subproblem 2
Set the factor '(21 + -1x)' equal to zero and attempt to solve:

Simplifying
21 + -1x = 0

Solving
21 + -1x = 0

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

Add '-21' to each side of the equation.
21 + -21 + -1x = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -1x = 0 + -21
-1x = 0 + -21

Combine like terms: 0 + -21 = -21
-1x = -21

Divide each side by '-1'.
x = 21

Simplifying
x = 21
Solution
x = {1, 21}