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Simplifying 32m2 + 18m + -17 = 0 Reorder the terms: -17 + 18m + 32m2 = 0 Solving -17 + 18m + 32m2 = 0 Solving for variable 'm'. Factor a trinomial. (-17 + -16m)(1 + -2m) = 0Subproblem 1
Set the factor '(-17 + -16m)' equal to zero and attempt to solve: Simplifying -17 + -16m = 0 Solving -17 + -16m = 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 + -16m = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -16m = 0 + 17 -16m = 0 + 17 Combine like terms: 0 + 17 = 17 -16m = 17 Divide each side by '-16'. m = -1.0625 Simplifying m = -1.0625Subproblem 2
Set the factor '(1 + -2m)' equal to zero and attempt to solve: Simplifying 1 + -2m = 0 Solving 1 + -2m = 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 + -2m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2m = 0 + -1 -2m = 0 + -1 Combine like terms: 0 + -1 = -1 -2m = -1 Divide each side by '-2'. m = 0.5 Simplifying m = 0.5Solution
m = {-1.0625, 0.5}
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