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Simplifying 5m2 + 33m = -18 Reorder the terms: 33m + 5m2 = -18 Solving 33m + 5m2 = -18 Solving for variable 'm'. Reorder the terms: 18 + 33m + 5m2 = -18 + 18 Combine like terms: -18 + 18 = 0 18 + 33m + 5m2 = 0 Factor a trinomial. (6 + m)(3 + 5m) = 0Subproblem 1
Set the factor '(6 + m)' equal to zero and attempt to solve: Simplifying 6 + m = 0 Solving 6 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + m = 0 + -6 Combine like terms: 6 + -6 = 0 0 + m = 0 + -6 m = 0 + -6 Combine like terms: 0 + -6 = -6 m = -6 Simplifying m = -6Subproblem 2
Set the factor '(3 + 5m)' equal to zero and attempt to solve: Simplifying 3 + 5m = 0 Solving 3 + 5m = 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 + 5m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5m = 0 + -3 5m = 0 + -3 Combine like terms: 0 + -3 = -3 5m = -3 Divide each side by '5'. m = -0.6 Simplifying m = -0.6Solution
m = {-6, -0.6}
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