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Simplifying 35 = 17m + -2m2 Solving 35 = 17m + -2m2 Solving for variable 'm'. Reorder the terms: 35 + -17m + 2m2 = 17m + -17m + -2m2 + 2m2 Combine like terms: 17m + -17m = 0 35 + -17m + 2m2 = 0 + -2m2 + 2m2 35 + -17m + 2m2 = -2m2 + 2m2 Combine like terms: -2m2 + 2m2 = 0 35 + -17m + 2m2 = 0 Factor a trinomial. (7 + -2m)(5 + -1m) = 0Subproblem 1
Set the factor '(7 + -2m)' equal to zero and attempt to solve: Simplifying 7 + -2m = 0 Solving 7 + -2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2m = 0 + -7 -2m = 0 + -7 Combine like terms: 0 + -7 = -7 -2m = -7 Divide each side by '-2'. m = 3.5 Simplifying m = 3.5Subproblem 2
Set the factor '(5 + -1m)' equal to zero and attempt to solve: Simplifying 5 + -1m = 0 Solving 5 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1m = 0 + -5 -1m = 0 + -5 Combine like terms: 0 + -5 = -5 -1m = -5 Divide each side by '-1'. m = 5 Simplifying m = 5Solution
m = {3.5, 5}
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