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Simplifying x2 + 0.5x = 0 Reorder the terms: 0.5x + x2 = 0 Solving 0.5x + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(0.5 + x) = 0Subproblem 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 = 0Subproblem 2
Set the factor '(0.5 + x)' equal to zero and attempt to solve: Simplifying 0.5 + x = 0 Solving 0.5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 0 + -0.5 x = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 x = -0.5 Simplifying x = -0.5Solution
x = {0, -0.5}
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