x^2+4x-22=9x+2

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Solution for x^2+4x-22=9x+2 equation: 


Simplifying
x2 + 4x + -22 = 9x + 2

Reorder the terms:
-22 + 4x + x2 = 9x + 2

Reorder the terms:
-22 + 4x + x2 = 2 + 9x

Solving
-22 + 4x + x2 = 2 + 9x

Solving for variable 'x'.

Reorder the terms:
-22 + -2 + 4x + -9x + x2 = 2 + 9x + -2 + -9x

Combine like terms: -22 + -2 = -24
-24 + 4x + -9x + x2 = 2 + 9x + -2 + -9x

Combine like terms: 4x + -9x = -5x
-24 + -5x + x2 = 2 + 9x + -2 + -9x

Reorder the terms:
-24 + -5x + x2 = 2 + -2 + 9x + -9x

Combine like terms: 2 + -2 = 0
-24 + -5x + x2 = 0 + 9x + -9x
-24 + -5x + x2 = 9x + -9x

Combine like terms: 9x + -9x = 0
-24 + -5x + x2 = 0

Factor a trinomial.
(-3 + -1x)(8 + -1x) = 0


Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve:

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {-3, 8}

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