x^2+3x-2x-6=5x-10

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Solution for x^2+3x-2x-6=5x-10 equation: 


Simplifying
x2 + 3x + -2x + -6 = 5x + -10

Reorder the terms:
-6 + 3x + -2x + x2 = 5x + -10

Combine like terms: 3x + -2x = 1x
-6 + 1x + x2 = 5x + -10

Reorder the terms:
-6 + 1x + x2 = -10 + 5x

Solving
-6 + 1x + x2 = -10 + 5x

Solving for variable 'x'.

Reorder the terms:
-6 + 10 + 1x + -5x + x2 = -10 + 5x + 10 + -5x

Combine like terms: -6 + 10 = 4
4 + 1x + -5x + x2 = -10 + 5x + 10 + -5x

Combine like terms: 1x + -5x = -4x
4 + -4x + x2 = -10 + 5x + 10 + -5x

Reorder the terms:
4 + -4x + x2 = -10 + 10 + 5x + -5x

Combine like terms: -10 + 10 = 0
4 + -4x + x2 = 0 + 5x + -5x
4 + -4x + x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
4 + -4x + x2 = 0

Factor a trinomial.
(2 + -1x)(2 + -1x) = 0


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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {2, 2}

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