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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. (-17 + -5m)(2 + -1m) = 0Subproblem 1
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 = -3.4Subproblem 2
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 = 2Solution
m = {-3.4, 2}
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