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Simplifying 5m2 + -9m + 7m2 + -2m = 0 Reorder the terms: -9m + -2m + 5m2 + 7m2 = 0 Combine like terms: -9m + -2m = -11m -11m + 5m2 + 7m2 = 0 Combine like terms: 5m2 + 7m2 = 12m2 -11m + 12m2 = 0 Solving -11m + 12m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(-11 + 12m) = 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 '(-11 + 12m)' equal to zero and attempt to solve: Simplifying -11 + 12m = 0 Solving -11 + 12m = 0 Move all terms containing m to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 12m = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 12m = 0 + 11 12m = 0 + 11 Combine like terms: 0 + 11 = 11 12m = 11 Divide each side by '12'. m = 0.9166666667 Simplifying m = 0.9166666667Solution
m = {0, 0.9166666667}
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