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Simplifying 4m2 + 21m = -27 Reorder the terms: 21m + 4m2 = -27 Solving 21m + 4m2 = -27 Solving for variable 'm'. Reorder the terms: 27 + 21m + 4m2 = -27 + 27 Combine like terms: -27 + 27 = 0 27 + 21m + 4m2 = 0 Factor a trinomial. (3 + m)(9 + 4m) = 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 '(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 = -2.25Solution
m = {-3, -2.25}
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