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Simplifying 0 = 70m2 + -73m + -35 Reorder the terms: 0 = -35 + -73m + 70m2 Solving 0 = -35 + -73m + 70m2 Solving for variable 'm'. Combine like terms: 0 + 35 = 35 35 + 73m + -70m2 = -35 + -73m + 70m2 + 35 + 73m + -70m2 Reorder the terms: 35 + 73m + -70m2 = -35 + 35 + -73m + 73m + 70m2 + -70m2 Combine like terms: -35 + 35 = 0 35 + 73m + -70m2 = 0 + -73m + 73m + 70m2 + -70m2 35 + 73m + -70m2 = -73m + 73m + 70m2 + -70m2 Combine like terms: -73m + 73m = 0 35 + 73m + -70m2 = 0 + 70m2 + -70m2 35 + 73m + -70m2 = 70m2 + -70m2 Combine like terms: 70m2 + -70m2 = 0 35 + 73m + -70m2 = 0 Factor a trinomial. (7 + -5m)(5 + 14m) = 0Subproblem 1
Set the factor '(7 + -5m)' equal to zero and attempt to solve: Simplifying 7 + -5m = 0 Solving 7 + -5m = 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 + -5m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5m = 0 + -7 -5m = 0 + -7 Combine like terms: 0 + -7 = -7 -5m = -7 Divide each side by '-5'. m = 1.4 Simplifying m = 1.4Subproblem 2
Set the factor '(5 + 14m)' equal to zero and attempt to solve: Simplifying 5 + 14m = 0 Solving 5 + 14m = 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 + 14m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 14m = 0 + -5 14m = 0 + -5 Combine like terms: 0 + -5 = -5 14m = -5 Divide each side by '14'. m = -0.3571428571 Simplifying m = -0.3571428571Solution
m = {1.4, -0.3571428571}
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