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Simplifying -24 = 7m2 + 29m Reorder the terms: -24 = 29m + 7m2 Solving -24 = 29m + 7m2 Solving for variable 'm'. Reorder the terms: -24 + -29m + -7m2 = 29m + -29m + 7m2 + -7m2 Combine like terms: 29m + -29m = 0 -24 + -29m + -7m2 = 0 + 7m2 + -7m2 -24 + -29m + -7m2 = 7m2 + -7m2 Combine like terms: 7m2 + -7m2 = 0 -24 + -29m + -7m2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(24 + 29m + 7m2) = 0 Factor a trinomial. -1((3 + m)(8 + 7m)) = 0 Ignore the factor -1.Subproblem 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 '(8 + 7m)' equal to zero and attempt to solve: Simplifying 8 + 7m = 0 Solving 8 + 7m = 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 + 7m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7m = 0 + -8 7m = 0 + -8 Combine like terms: 0 + -8 = -8 7m = -8 Divide each side by '7'. m = -1.142857143 Simplifying m = -1.142857143Solution
m = {-3, -1.142857143}
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