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Simplifying 5m2 + 22m + 24 = 0 Reorder the terms: 24 + 22m + 5m2 = 0 Solving 24 + 22m + 5m2 = 0 Solving for variable 'm'. Factor a trinomial. (12 + 5m)(2 + m) = 0Subproblem 1
Set the factor '(12 + 5m)' equal to zero and attempt to solve: Simplifying 12 + 5m = 0 Solving 12 + 5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 5m = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 5m = 0 + -12 5m = 0 + -12 Combine like terms: 0 + -12 = -12 5m = -12 Divide each side by '5'. m = -2.4 Simplifying m = -2.4Subproblem 2
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 = -2Solution
m = {-2.4, -2}
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