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Simplifying 8m2 + -70m + 17 = 0 Reorder the terms: 17 + -70m + 8m2 = 0 Solving 17 + -70m + 8m2 = 0 Solving for variable 'm'. Factor a trinomial. (1 + -4m)(17 + -2m) = 0Subproblem 1
Set the factor '(1 + -4m)' equal to zero and attempt to solve: Simplifying 1 + -4m = 0 Solving 1 + -4m = 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 + -4m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4m = 0 + -1 -4m = 0 + -1 Combine like terms: 0 + -1 = -1 -4m = -1 Divide each side by '-4'. m = 0.25 Simplifying m = 0.25Subproblem 2
Set the factor '(17 + -2m)' equal to zero and attempt to solve: Simplifying 17 + -2m = 0 Solving 17 + -2m = 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 + -2m = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -2m = 0 + -17 -2m = 0 + -17 Combine like terms: 0 + -17 = -17 -2m = -17 Divide each side by '-2'. m = 8.5 Simplifying m = 8.5Solution
m = {0.25, 8.5}
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