2x^2-8x+10=x^2+2x-6

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Solution for 2x^2-8x+10=x^2+2x-6 equation: 


Simplifying
2x2 + -8x + 10 = x2 + 2x + -6

Reorder the terms:
10 + -8x + 2x2 = x2 + 2x + -6

Reorder the terms:
10 + -8x + 2x2 = -6 + 2x + x2

Solving
10 + -8x + 2x2 = -6 + 2x + x2

Solving for variable 'x'.

Reorder the terms:
10 + 6 + -8x + -2x + 2x2 + -1x2 = -6 + 2x + x2 + 6 + -2x + -1x2

Combine like terms: 10 + 6 = 16
16 + -8x + -2x + 2x2 + -1x2 = -6 + 2x + x2 + 6 + -2x + -1x2

Combine like terms: -8x + -2x = -10x
16 + -10x + 2x2 + -1x2 = -6 + 2x + x2 + 6 + -2x + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
16 + -10x + 1x2 = -6 + 2x + x2 + 6 + -2x + -1x2

Reorder the terms:
16 + -10x + 1x2 = -6 + 6 + 2x + -2x + x2 + -1x2

Combine like terms: -6 + 6 = 0
16 + -10x + 1x2 = 0 + 2x + -2x + x2 + -1x2
16 + -10x + 1x2 = 2x + -2x + x2 + -1x2

Combine like terms: 2x + -2x = 0
16 + -10x + 1x2 = 0 + x2 + -1x2
16 + -10x + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
16 + -10x + 1x2 = 0

Factor a trinomial.
(2 + -1x)(8 + -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 '(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 = {2, 8}

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