2x^2+8=x^2+2x+8

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


Simplifying
2x2 + 8 = x2 + 2x + 8

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

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

Add '-8' to each side of the equation.
8 + -8 + 2x2 = 8 + 2x + -8 + x2

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

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

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

Solving
2x2 = 2x + x2

Solving for variable 'x'.

Reorder the terms:
-2x + 2x2 + -1x2 = 2x + x2 + -2x + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
-2x + 1x2 = 2x + x2 + -2x + -1x2

Reorder the terms:
-2x + 1x2 = 2x + -2x + x2 + -1x2

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

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(-2 + x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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

Simplifying
-2 + x = 0

Solving
-2 + x = 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 + x = 0 + 2

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

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

Simplifying
x = 2
Solution
x = {0, 2}

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