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Simplifying -7m2 + -10m + 17 = 0 Reorder the terms: 17 + -10m + -7m2 = 0 Solving 17 + -10m + -7m2 = 0 Solving for variable 'm'. Factor a trinomial. (1 + -1m)(17 + 7m) = 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 '(17 + 7m)' equal to zero and attempt to solve: Simplifying 17 + 7m = 0 Solving 17 + 7m = 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 + 7m = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 7m = 0 + -17 7m = 0 + -17 Combine like terms: 0 + -17 = -17 7m = -17 Divide each side by '7'. m = -2.428571429 Simplifying m = -2.428571429Solution
m = {1, -2.428571429}
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