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Simplifying 7m2 + 34m + 24 = 0 Reorder the terms: 24 + 34m + 7m2 = 0 Solving 24 + 34m + 7m2 = 0 Solving for variable 'm'. Factor a trinomial. (4 + m)(6 + 7m) = 0Subproblem 1
Set the factor '(4 + m)' equal to zero and attempt to solve: Simplifying 4 + m = 0 Solving 4 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + m = 0 + -4 m = 0 + -4 Combine like terms: 0 + -4 = -4 m = -4 Simplifying m = -4Subproblem 2
Set the factor '(6 + 7m)' equal to zero and attempt to solve: Simplifying 6 + 7m = 0 Solving 6 + 7m = 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 + 7m = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 7m = 0 + -6 7m = 0 + -6 Combine like terms: 0 + -6 = -6 7m = -6 Divide each side by '7'. m = -0.8571428571 Simplifying m = -0.8571428571Solution
m = {-4, -0.8571428571}
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