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Simplifying (-2x + 600) * x = 0 Reorder the terms: (600 + -2x) * x = 0 Reorder the terms for easier multiplication: x(600 + -2x) = 0 (600 * x + -2x * x) = 0 (600x + -2x2) = 0 Solving 600x + -2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(300 + -1x) = 0 Ignore the factor 2.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 = 0Subproblem 2
Set the factor '(300 + -1x)' equal to zero and attempt to solve: Simplifying 300 + -1x = 0 Solving 300 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-300' to each side of the equation. 300 + -300 + -1x = 0 + -300 Combine like terms: 300 + -300 = 0 0 + -1x = 0 + -300 -1x = 0 + -300 Combine like terms: 0 + -300 = -300 -1x = -300 Divide each side by '-1'. x = 300 Simplifying x = 300Solution
x = {0, 300}
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