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Simplifying 9m2 + 14m + -18m2 + 3m = 0 Reorder the terms: 14m + 3m + 9m2 + -18m2 = 0 Combine like terms: 14m + 3m = 17m 17m + 9m2 + -18m2 = 0 Combine like terms: 9m2 + -18m2 = -9m2 17m + -9m2 = 0 Solving 17m + -9m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(17 + -9m) = 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 '(17 + -9m)' equal to zero and attempt to solve: Simplifying 17 + -9m = 0 Solving 17 + -9m = 0 Move all terms containing m to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -9m = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -9m = 0 + -17 -9m = 0 + -17 Combine like terms: 0 + -17 = -17 -9m = -17 Divide each side by '-9'. m = 1.888888889 Simplifying m = 1.888888889Solution
m = {0, 1.888888889}
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