x^2-3x+2=2x+8

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Solution for x^2-3x+2=2x+8 equation: 


Simplifying
x2 + -3x + 2 = 2x + 8

Reorder the terms:
2 + -3x + x2 = 2x + 8

Reorder the terms:
2 + -3x + x2 = 8 + 2x

Solving
2 + -3x + x2 = 8 + 2x

Solving for variable 'x'.

Reorder the terms:
2 + -8 + -3x + -2x + x2 = 8 + 2x + -8 + -2x

Combine like terms: 2 + -8 = -6
-6 + -3x + -2x + x2 = 8 + 2x + -8 + -2x

Combine like terms: -3x + -2x = -5x
-6 + -5x + x2 = 8 + 2x + -8 + -2x

Reorder the terms:
-6 + -5x + x2 = 8 + -8 + 2x + -2x

Combine like terms: 8 + -8 = 0
-6 + -5x + x2 = 0 + 2x + -2x
-6 + -5x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-6 + -5x + x2 = 0

Factor a trinomial.
(-1 + -1x)(6 + -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 '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-1, 6}

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