x^2+8x+13=22x-36

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Solution for x^2+8x+13=22x-36 equation: 


Simplifying
x2 + 8x + 13 = 22x + -36

Reorder the terms:
13 + 8x + x2 = 22x + -36

Reorder the terms:
13 + 8x + x2 = -36 + 22x

Solving
13 + 8x + x2 = -36 + 22x

Solving for variable 'x'.

Reorder the terms:
13 + 36 + 8x + -22x + x2 = -36 + 22x + 36 + -22x

Combine like terms: 13 + 36 = 49
49 + 8x + -22x + x2 = -36 + 22x + 36 + -22x

Combine like terms: 8x + -22x = -14x
49 + -14x + x2 = -36 + 22x + 36 + -22x

Reorder the terms:
49 + -14x + x2 = -36 + 36 + 22x + -22x

Combine like terms: -36 + 36 = 0
49 + -14x + x2 = 0 + 22x + -22x
49 + -14x + x2 = 22x + -22x

Combine like terms: 22x + -22x = 0
49 + -14x + x2 = 0

Factor a trinomial.
(7 + -1x)(7 + -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 '(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
Solution
x = {7, 7}

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