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Simplifying 32m2 + 18m + 9m + 7m2 + 15m = 0 Reorder the terms: 18m + 9m + 15m + 32m2 + 7m2 = 0 Combine like terms: 18m + 9m = 27m 27m + 15m + 32m2 + 7m2 = 0 Combine like terms: 27m + 15m = 42m 42m + 32m2 + 7m2 = 0 Combine like terms: 32m2 + 7m2 = 39m2 42m + 39m2 = 0 Solving 42m + 39m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '3m'. 3m(14 + 13m) = 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 '(14 + 13m)' equal to zero and attempt to solve: Simplifying 14 + 13m = 0 Solving 14 + 13m = 0 Move all terms containing m to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 13m = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 13m = 0 + -14 13m = 0 + -14 Combine like terms: 0 + -14 = -14 13m = -14 Divide each side by '13'. m = -1.076923077 Simplifying m = -1.076923077Solution
m = {0, -1.076923077}
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