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Simplifying 4m2 + 13m + 9 = 0 Reorder the terms: 9 + 13m + 4m2 = 0 Solving 9 + 13m + 4m2 = 0 Solving for variable 'm'. Factor a trinomial. (9 + 4m)(1 + m) = 0Subproblem 1
Set the factor '(9 + 4m)' equal to zero and attempt to solve: Simplifying 9 + 4m = 0 Solving 9 + 4m = 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 + 4m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4m = 0 + -9 4m = 0 + -9 Combine like terms: 0 + -9 = -9 4m = -9 Divide each side by '4'. m = -2.25 Simplifying m = -2.25Subproblem 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 = {-2.25, -1}
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