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Simplifying 9m2 + 27m + 8 = 0 Reorder the terms: 8 + 27m + 9m2 = 0 Solving 8 + 27m + 9m2 = 0 Solving for variable 'm'. Factor a trinomial. (8 + 3m)(1 + 3m) = 0Subproblem 1
Set the factor '(8 + 3m)' equal to zero and attempt to solve: Simplifying 8 + 3m = 0 Solving 8 + 3m = 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 + 3m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3m = 0 + -8 3m = 0 + -8 Combine like terms: 0 + -8 = -8 3m = -8 Divide each side by '3'. m = -2.666666667 Simplifying m = -2.666666667Subproblem 2
Set the factor '(1 + 3m)' equal to zero and attempt to solve: Simplifying 1 + 3m = 0 Solving 1 + 3m = 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 + 3m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3m = 0 + -1 3m = 0 + -1 Combine like terms: 0 + -1 = -1 3m = -1 Divide each side by '3'. m = -0.3333333333 Simplifying m = -0.3333333333Solution
m = {-2.666666667, -0.3333333333}
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