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Simplifying 5m2 + -7m + -34 = 0 Reorder the terms: -34 + -7m + 5m2 = 0 Solving -34 + -7m + 5m2 = 0 Solving for variable 'm'. Factor a trinomial. (-2 + -1m)(17 + -5m) = 0Subproblem 1
Set the factor '(-2 + -1m)' equal to zero and attempt to solve: Simplifying -2 + -1m = 0 Solving -2 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1m = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1m = 0 + 2 -1m = 0 + 2 Combine like terms: 0 + 2 = 2 -1m = 2 Divide each side by '-1'. m = -2 Simplifying m = -2Subproblem 2
Set the factor '(17 + -5m)' equal to zero and attempt to solve: Simplifying 17 + -5m = 0 Solving 17 + -5m = 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 + -5m = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -5m = 0 + -17 -5m = 0 + -17 Combine like terms: 0 + -17 = -17 -5m = -17 Divide each side by '-5'. m = 3.4 Simplifying m = 3.4Solution
m = {-2, 3.4}
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