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Simplifying 16m2 + 26m + 9 = 0 Reorder the terms: 9 + 26m + 16m2 = 0 Solving 9 + 26m + 16m2 = 0 Solving for variable 'm'. Factor a trinomial. (9 + 8m)(1 + 2m) = 0Subproblem 1
Set the factor '(9 + 8m)' equal to zero and attempt to solve: Simplifying 9 + 8m = 0 Solving 9 + 8m = 0 Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 8m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 8m = 0 + -9 8m = 0 + -9 Combine like terms: 0 + -9 = -9 8m = -9 Divide each side by '8'. m = -1.125 Simplifying m = -1.125Subproblem 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 = {-1.125, -0.5}
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