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Simplifying 20m2 = 45m Solving 20m2 = 45m Solving for variable 'm'. Reorder the terms: -45m + 20m2 = 45m + -45m Combine like terms: 45m + -45m = 0 -45m + 20m2 = 0 Factor out the Greatest Common Factor (GCF), '5m'. 5m(-9 + 4m) = 0 Ignore the factor 5.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 '(-9 + 4m)' equal to zero and attempt to solve: Simplifying -9 + 4m = 0 Solving -9 + 4m = 0 Move all terms containing m to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 4m = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 4m = 0 + 9 4m = 0 + 9 Combine like terms: 0 + 9 = 9 4m = 9 Divide each side by '4'. m = 2.25 Simplifying m = 2.25Solution
m = {0, 2.25}
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