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Simplifying 25m3 + -20m2 = 0 Reorder the terms: -20m2 + 25m3 = 0 Solving -20m2 + 25m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '5m2'. 5m2(-4 + 5m) = 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 '(-4 + 5m)' equal to zero and attempt to solve: Simplifying -4 + 5m = 0 Solving -4 + 5m = 0 Move all terms containing m to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 5m = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 5m = 0 + 4 5m = 0 + 4 Combine like terms: 0 + 4 = 4 5m = 4 Divide each side by '5'. m = 0.8 Simplifying m = 0.8Solution
m = {0, 0.8}
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