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Simplifying m2 + 4m + 24 = -7m Reorder the terms: 24 + 4m + m2 = -7m Solving 24 + 4m + m2 = -7m Solving for variable 'm'. Reorder the terms: 24 + 4m + 7m + m2 = -7m + 7m Combine like terms: 4m + 7m = 11m 24 + 11m + m2 = -7m + 7m Combine like terms: -7m + 7m = 0 24 + 11m + m2 = 0 Factor a trinomial. (8 + m)(3 + m) = 0Subproblem 1
Set the factor '(8 + m)' equal to zero and attempt to solve: Simplifying 8 + m = 0 Solving 8 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + m = 0 + -8 m = 0 + -8 Combine like terms: 0 + -8 = -8 m = -8 Simplifying m = -8Subproblem 2
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 = -3Solution
m = {-8, -3}
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