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Simplifying 5m3 + -10m2 = 0 Reorder the terms: -10m2 + 5m3 = 0 Solving -10m2 + 5m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '5m2'. 5m2(-2 + m) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'm2' equal to zero and attempt to solve: Simplifying m2 = 0 Solving m2 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m2 = 0 Take the square root of each side: m = {0}Subproblem 2
Set the factor '(-2 + m)' equal to zero and attempt to solve: Simplifying -2 + m = 0 Solving -2 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + m = 0 + 2 Combine like terms: -2 + 2 = 0 0 + m = 0 + 2 m = 0 + 2 Combine like terms: 0 + 2 = 2 m = 2 Simplifying m = 2Solution
m = {0, 2}
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