x^2-22x+121=x+9

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Solution for x^2-22x+121=x+9 equation: 


Simplifying
x2 + -22x + 121 = x + 9

Reorder the terms:
121 + -22x + x2 = x + 9

Reorder the terms:
121 + -22x + x2 = 9 + x

Solving
121 + -22x + x2 = 9 + x

Solving for variable 'x'.

Reorder the terms:
121 + -9 + -22x + -1x + x2 = 9 + x + -9 + -1x

Combine like terms: 121 + -9 = 112
112 + -22x + -1x + x2 = 9 + x + -9 + -1x

Combine like terms: -22x + -1x = -23x
112 + -23x + x2 = 9 + x + -9 + -1x

Reorder the terms:
112 + -23x + x2 = 9 + -9 + x + -1x

Combine like terms: 9 + -9 = 0
112 + -23x + x2 = 0 + x + -1x
112 + -23x + x2 = x + -1x

Combine like terms: x + -1x = 0
112 + -23x + x2 = 0

Factor a trinomial.
(7 + -1x)(16 + -1x) = 0


Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

Subproblem 2
Set the factor '(16 + -1x)' equal to zero and attempt to solve:

Simplifying
16 + -1x = 0

Solving
16 + -1x = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 0 + -16
-1x = 0 + -16

Combine like terms: 0 + -16 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16
Solution
x = {7, 16}

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