x^2+10x-26=2x+22

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Solution for x^2+10x-26=2x+22 equation: 


Simplifying
x2 + 10x + -26 = 2x + 22

Reorder the terms:
-26 + 10x + x2 = 2x + 22

Reorder the terms:
-26 + 10x + x2 = 22 + 2x

Solving
-26 + 10x + x2 = 22 + 2x

Solving for variable 'x'.

Reorder the terms:
-26 + -22 + 10x + -2x + x2 = 22 + 2x + -22 + -2x

Combine like terms: -26 + -22 = -48
-48 + 10x + -2x + x2 = 22 + 2x + -22 + -2x

Combine like terms: 10x + -2x = 8x
-48 + 8x + x2 = 22 + 2x + -22 + -2x

Reorder the terms:
-48 + 8x + x2 = 22 + -22 + 2x + -2x

Combine like terms: 22 + -22 = 0
-48 + 8x + x2 = 0 + 2x + -2x
-48 + 8x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-48 + 8x + x2 = 0

Factor a trinomial.
(-12 + -1x)(4 + -1x) = 0


Subproblem 1
Set the factor '(-12 + -1x)' equal to zero and attempt to solve:

Simplifying
-12 + -1x = 0

Solving
-12 + -1x = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = 0 + 12
-1x = 0 + 12

Combine like terms: 0 + 12 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-12, 4}

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