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Simplifying 3m2 + 16m + 21 = 0 Reorder the terms: 21 + 16m + 3m2 = 0 Solving 21 + 16m + 3m2 = 0 Solving for variable 'm'. Factor a trinomial. (3 + m)(7 + 3m) = 0Subproblem 1
Set the factor '(3 + m)' equal to zero and attempt to solve: Simplifying 3 + m = 0 Solving 3 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + m = 0 + -3 m = 0 + -3 Combine like terms: 0 + -3 = -3 m = -3 Simplifying m = -3Subproblem 2
Set the factor '(7 + 3m)' equal to zero and attempt to solve: Simplifying 7 + 3m = 0 Solving 7 + 3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3m = 0 + -7 3m = 0 + -7 Combine like terms: 0 + -7 = -7 3m = -7 Divide each side by '3'. m = -2.333333333 Simplifying m = -2.333333333Solution
m = {-3, -2.333333333}
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