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Simplifying 9m2 + 28m = -20 Reorder the terms: 28m + 9m2 = -20 Solving 28m + 9m2 = -20 Solving for variable 'm'. Reorder the terms: 20 + 28m + 9m2 = -20 + 20 Combine like terms: -20 + 20 = 0 20 + 28m + 9m2 = 0 Factor a trinomial. (2 + m)(10 + 9m) = 0Subproblem 1
Set the factor '(2 + m)' equal to zero and attempt to solve: Simplifying 2 + m = 0 Solving 2 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + m = 0 + -2 m = 0 + -2 Combine like terms: 0 + -2 = -2 m = -2 Simplifying m = -2Subproblem 2
Set the factor '(10 + 9m)' equal to zero and attempt to solve: Simplifying 10 + 9m = 0 Solving 10 + 9m = 0 Move all terms containing m to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 9m = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 9m = 0 + -10 9m = 0 + -10 Combine like terms: 0 + -10 = -10 9m = -10 Divide each side by '9'. m = -1.111111111 Simplifying m = -1.111111111Solution
m = {-2, -1.111111111}
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