x=0.5x^2

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Solution for x=0.5x^2 equation:


Simplifying
x = 0.5x2

Solving
x = 0.5x2

Solving for variable 'x'.

Combine like terms: 0.5x2 + -0.5x2 = 0.0
x + -0.5x2 = 0.0

Factor out the Greatest Common Factor (GCF), 'x'.
x(1 + -0.5x) = 0.0

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 '(1 + -0.5x)' equal to zero and attempt to solve: Simplifying 1 + -0.5x = 0 Solving 1 + -0.5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -0.5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.5x = 0 + -1 -0.5x = 0 + -1 Combine like terms: 0 + -1 = -1 -0.5x = -1 Divide each side by '-0.5'. x = 2 Simplifying x = 2

Solution

x = {0, 2}

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