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Simplifying 2m2 = 9m Solving 2m2 = 9m Solving for variable 'm'. Reorder the terms: -9m + 2m2 = 9m + -9m Combine like terms: 9m + -9m = 0 -9m + 2m2 = 0 Factor out the Greatest Common Factor (GCF), 'm'. m(-9 + 2m) = 0Subproblem 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 + 2m)' equal to zero and attempt to solve: Simplifying -9 + 2m = 0 Solving -9 + 2m = 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 + 2m = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 2m = 0 + 9 2m = 0 + 9 Combine like terms: 0 + 9 = 9 2m = 9 Divide each side by '2'. m = 4.5 Simplifying m = 4.5Solution
m = {0, 4.5}
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