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Simplifying 5m2 + -17m + 12 = 0 Reorder the terms: 12 + -17m + 5m2 = 0 Solving 12 + -17m + 5m2 = 0 Solving for variable 'm'. Factor a trinomial. (1 + -1m)(12 + -5m) = 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 '(12 + -5m)' equal to zero and attempt to solve: Simplifying 12 + -5m = 0 Solving 12 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -5m = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -5m = 0 + -12 -5m = 0 + -12 Combine like terms: 0 + -12 = -12 -5m = -12 Divide each side by '-5'. m = 2.4 Simplifying m = 2.4Solution
m = {1, 2.4}
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