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Simplifying 9m2 + 13m + 4 = 0 Reorder the terms: 4 + 13m + 9m2 = 0 Solving 4 + 13m + 9m2 = 0 Solving for variable 'm'. Factor a trinomial. (1 + m)(4 + 9m) = 0Subproblem 1
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 = -1Subproblem 2
Set the factor '(4 + 9m)' equal to zero and attempt to solve: Simplifying 4 + 9m = 0 Solving 4 + 9m = 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 + 9m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 9m = 0 + -4 9m = 0 + -4 Combine like terms: 0 + -4 = -4 9m = -4 Divide each side by '9'. m = -0.4444444444 Simplifying m = -0.4444444444Solution
m = {-1, -0.4444444444}
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