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Simplifying 45m2 + -96m = 0 Reorder the terms: -96m + 45m2 = 0 Solving -96m + 45m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '3m'. 3m(-32 + 15m) = 0 Ignore the factor 3.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 '(-32 + 15m)' equal to zero and attempt to solve: Simplifying -32 + 15m = 0 Solving -32 + 15m = 0 Move all terms containing m to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 15m = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 15m = 0 + 32 15m = 0 + 32 Combine like terms: 0 + 32 = 32 15m = 32 Divide each side by '15'. m = 2.133333333 Simplifying m = 2.133333333Solution
m = {0, 2.133333333}
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