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Simplifying 20m3 + -10m2 = 0 Reorder the terms: -10m2 + 20m3 = 0 Solving -10m2 + 20m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '10m2'. 10m2(-1 + 2m) = 0 Ignore the factor 10.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 '(-1 + 2m)' equal to zero and attempt to solve: Simplifying -1 + 2m = 0 Solving -1 + 2m = 0 Move all terms containing m to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2m = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2m = 0 + 1 2m = 0 + 1 Combine like terms: 0 + 1 = 1 2m = 1 Divide each side by '2'. m = 0.5 Simplifying m = 0.5Solution
m = {0, 0.5}
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