0=2x-x^2

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Solution for 0=2x-x^2 equation:


Simplifying
0 = 2x + -1x2

Solving
0 = 2x + -1x2

Solving for variable 'x'.
Remove the zero:
-2x + x2 = 2x + -1x2 + -2x + x2

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

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

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