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Simplifying 25m3 + -15m2 = 0 Reorder the terms: -15m2 + 25m3 = 0 Solving -15m2 + 25m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '5m2'. 5m2(-3 + 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 '(-3 + 5m)' equal to zero and attempt to solve: Simplifying -3 + 5m = 0 Solving -3 + 5m = 0 Move all terms containing m to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 5m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5m = 0 + 3 5m = 0 + 3 Combine like terms: 0 + 3 = 3 5m = 3 Divide each side by '5'. m = 0.6 Simplifying m = 0.6Solution
m = {0, 0.6}
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