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Simplifying 4m2 = 9m + -5 Reorder the terms: 4m2 = -5 + 9m Solving 4m2 = -5 + 9m Solving for variable 'm'. Reorder the terms: 5 + -9m + 4m2 = -5 + 9m + 5 + -9m Reorder the terms: 5 + -9m + 4m2 = -5 + 5 + 9m + -9m Combine like terms: -5 + 5 = 0 5 + -9m + 4m2 = 0 + 9m + -9m 5 + -9m + 4m2 = 9m + -9m Combine like terms: 9m + -9m = 0 5 + -9m + 4m2 = 0 Factor a trinomial. (1 + -1m)(5 + -4m) = 0Subproblem 1
Set the factor '(1 + -1m)' equal to zero and attempt to solve: Simplifying 1 + -1m = 0 Solving 1 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1m = 0 + -1 -1m = 0 + -1 Combine like terms: 0 + -1 = -1 -1m = -1 Divide each side by '-1'. m = 1 Simplifying m = 1Subproblem 2
Set the factor '(5 + -4m)' equal to zero and attempt to solve: Simplifying 5 + -4m = 0 Solving 5 + -4m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4m = 0 + -5 -4m = 0 + -5 Combine like terms: 0 + -5 = -5 -4m = -5 Divide each side by '-4'. m = 1.25 Simplifying m = 1.25Solution
m = {1, 1.25}
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