x^2-9x+12=2x+2

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Solution for x^2-9x+12=2x+2 equation: 


Simplifying
x2 + -9x + 12 = 2x + 2

Reorder the terms:
12 + -9x + x2 = 2x + 2

Reorder the terms:
12 + -9x + x2 = 2 + 2x

Solving
12 + -9x + x2 = 2 + 2x

Solving for variable 'x'.

Reorder the terms:
12 + -2 + -9x + -2x + x2 = 2 + 2x + -2 + -2x

Combine like terms: 12 + -2 = 10
10 + -9x + -2x + x2 = 2 + 2x + -2 + -2x

Combine like terms: -9x + -2x = -11x
10 + -11x + x2 = 2 + 2x + -2 + -2x

Reorder the terms:
10 + -11x + x2 = 2 + -2 + 2x + -2x

Combine like terms: 2 + -2 = 0
10 + -11x + x2 = 0 + 2x + -2x
10 + -11x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
10 + -11x + x2 = 0

Factor a trinomial.
(1 + -1x)(10 + -1x) = 0


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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1

Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {1, 10}

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