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Simplifying 2m2 + 7m = -5 Reorder the terms: 7m + 2m2 = -5 Solving 7m + 2m2 = -5 Solving for variable 'm'. Reorder the terms: 5 + 7m + 2m2 = -5 + 5 Combine like terms: -5 + 5 = 0 5 + 7m + 2m2 = 0 Factor a trinomial. (5 + 2m)(1 + m) = 0Subproblem 1
Set the factor '(5 + 2m)' equal to zero and attempt to solve: Simplifying 5 + 2m = 0 Solving 5 + 2m = 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 + 2m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2m = 0 + -5 2m = 0 + -5 Combine like terms: 0 + -5 = -5 2m = -5 Divide each side by '2'. m = -2.5 Simplifying m = -2.5Subproblem 2
Set the factor '(1 + m)' equal to zero and attempt to solve: Simplifying 1 + m = 0 Solving 1 + m = 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 + m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + m = 0 + -1 m = 0 + -1 Combine like terms: 0 + -1 = -1 m = -1 Simplifying m = -1Solution
m = {-2.5, -1}
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