x^2-22x+121=58-6x

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Solution for x^2-22x+121=58-6x equation: 


Simplifying
x2 + -22x + 121 = 58 + -6x

Reorder the terms:
121 + -22x + x2 = 58 + -6x

Solving
121 + -22x + x2 = 58 + -6x

Solving for variable 'x'.

Reorder the terms:
121 + -58 + -22x + 6x + x2 = 58 + -6x + -58 + 6x

Combine like terms: 121 + -58 = 63
63 + -22x + 6x + x2 = 58 + -6x + -58 + 6x

Combine like terms: -22x + 6x = -16x
63 + -16x + x2 = 58 + -6x + -58 + 6x

Reorder the terms:
63 + -16x + x2 = 58 + -58 + -6x + 6x

Combine like terms: 58 + -58 = 0
63 + -16x + x2 = 0 + -6x + 6x
63 + -16x + x2 = -6x + 6x

Combine like terms: -6x + 6x = 0
63 + -16x + x2 = 0

Factor a trinomial.
(7 + -1x)(9 + -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 '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {7, 9}

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