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Simplifying 5m2 + -43m + 49 = -7 Reorder the terms: 49 + -43m + 5m2 = -7 Solving 49 + -43m + 5m2 = -7 Solving for variable 'm'. Reorder the terms: 49 + 7 + -43m + 5m2 = -7 + 7 Combine like terms: 49 + 7 = 56 56 + -43m + 5m2 = -7 + 7 Combine like terms: -7 + 7 = 0 56 + -43m + 5m2 = 0 Factor a trinomial. (8 + -5m)(7 + -1m) = 0Subproblem 1
Set the factor '(8 + -5m)' equal to zero and attempt to solve: Simplifying 8 + -5m = 0 Solving 8 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5m = 0 + -8 -5m = 0 + -8 Combine like terms: 0 + -8 = -8 -5m = -8 Divide each side by '-5'. m = 1.6 Simplifying m = 1.6Subproblem 2
Set the factor '(7 + -1m)' equal to zero and attempt to solve: Simplifying 7 + -1m = 0 Solving 7 + -1m = 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 + -1m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1m = 0 + -7 -1m = 0 + -7 Combine like terms: 0 + -7 = -7 -1m = -7 Divide each side by '-1'. m = 7 Simplifying m = 7Solution
m = {1.6, 7}
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