x^2-2x+7=7

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Solution for x^2-2x+7=7 equation:


Simplifying
x2 + -2x + 7 = 7

Reorder the terms:
7 + -2x + x2 = 7

Add '-7' to each side of the equation.
7 + -2x + -7 + x2 = 7 + -7

Reorder the terms:
7 + -7 + -2x + x2 = 7 + -7

Combine like terms: 7 + -7 = 0
0 + -2x + x2 = 7 + -7
-2x + x2 = 7 + -7

Combine like terms: 7 + -7 = 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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