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Simplifying x2 + 500x = 0 Reorder the terms: 500x + x2 = 0 Solving 500x + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(500 + 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 '(500 + x)' equal to zero and attempt to solve: Simplifying 500 + x = 0 Solving 500 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-500' to each side of the equation. 500 + -500 + x = 0 + -500 Combine like terms: 500 + -500 = 0 0 + x = 0 + -500 x = 0 + -500 Combine like terms: 0 + -500 = -500 x = -500 Simplifying x = -500Solution
x = {0, -500}
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