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Simplifying 5m2 + 9m = 18 Reorder the terms: 9m + 5m2 = 18 Solving 9m + 5m2 = 18 Solving for variable 'm'. Reorder the terms: -18 + 9m + 5m2 = 18 + -18 Combine like terms: 18 + -18 = 0 -18 + 9m + 5m2 = 0 Factor a trinomial. (-3 + -1m)(6 + -5m) = 0Subproblem 1
Set the factor '(-3 + -1m)' equal to zero and attempt to solve: Simplifying -3 + -1m = 0 Solving -3 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1m = 0 + 3 -1m = 0 + 3 Combine like terms: 0 + 3 = 3 -1m = 3 Divide each side by '-1'. m = -3 Simplifying m = -3Subproblem 2
Set the factor '(6 + -5m)' equal to zero and attempt to solve: Simplifying 6 + -5m = 0 Solving 6 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5m = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5m = 0 + -6 -5m = 0 + -6 Combine like terms: 0 + -6 = -6 -5m = -6 Divide each side by '-5'. m = 1.2 Simplifying m = 1.2Solution
m = {-3, 1.2}
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