=x^2-22x+121

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


Simplifying
0 = x2 + -22x + 121

Reorder the terms:
0 = 121 + -22x + x2

Solving
0 = 121 + -22x + x2

Solving for variable 'x'.

Combine like terms: 0 + -121 = -121
-121 + 22x + -1x2 = 121 + -22x + x2 + -121 + 22x + -1x2

Reorder the terms:
-121 + 22x + -1x2 = 121 + -121 + -22x + 22x + x2 + -1x2

Combine like terms: 121 + -121 = 0
-121 + 22x + -1x2 = 0 + -22x + 22x + x2 + -1x2
-121 + 22x + -1x2 = -22x + 22x + x2 + -1x2

Combine like terms: -22x + 22x = 0
-121 + 22x + -1x2 = 0 + x2 + -1x2
-121 + 22x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-121 + 22x + -1x2 = 0

Factor a trinomial.
(-11 + x)(11 + -1x) = 0


Subproblem 1
Set the factor '(-11 + x)' equal to zero and attempt to solve:

Simplifying
-11 + x = 0

Solving
-11 + x = 0

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

Add '11' to each side of the equation.
-11 + 11 + x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + x = 0 + 11
x = 0 + 11

Combine like terms: 0 + 11 = 11
x = 11

Simplifying
x = 11

Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Solution
x = {11, 11}

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