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Simplifying 2m2 + 9m + 7 = 3 Reorder the terms: 7 + 9m + 2m2 = 3 Solving 7 + 9m + 2m2 = 3 Solving for variable 'm'. Reorder the terms: 7 + -3 + 9m + 2m2 = 3 + -3 Combine like terms: 7 + -3 = 4 4 + 9m + 2m2 = 3 + -3 Combine like terms: 3 + -3 = 0 4 + 9m + 2m2 = 0 Factor a trinomial. (4 + m)(1 + 2m) = 0Subproblem 1
Set the factor '(4 + m)' equal to zero and attempt to solve: Simplifying 4 + m = 0 Solving 4 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + m = 0 + -4 m = 0 + -4 Combine like terms: 0 + -4 = -4 m = -4 Simplifying m = -4Subproblem 2
Set the factor '(1 + 2m)' equal to zero and attempt to solve: Simplifying 1 + 2m = 0 Solving 1 + 2m = 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 + 2m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2m = 0 + -1 2m = 0 + -1 Combine like terms: 0 + -1 = -1 2m = -1 Divide each side by '2'. m = -0.5 Simplifying m = -0.5Solution
m = {-4, -0.5}
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