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Simplifying 10m2 + -460m = 0 Reorder the terms: -460m + 10m2 = 0 Solving -460m + 10m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '10m'. 10m(-46 + m) = 0 Ignore the factor 10.Subproblem 1
Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m = 0Subproblem 2
Set the factor '(-46 + m)' equal to zero and attempt to solve: Simplifying -46 + m = 0 Solving -46 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + m = 0 + 46 Combine like terms: -46 + 46 = 0 0 + m = 0 + 46 m = 0 + 46 Combine like terms: 0 + 46 = 46 m = 46 Simplifying m = 46Solution
m = {0, 46}
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