x^2-2x+8=8

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


Simplifying
x2 + -2x + 8 = 8

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

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

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

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

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

Solving
-2x + x2 = 0

Solving for variable 'x'.

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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