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Simplifying 7m2 + 41m + 30 = 0 Reorder the terms: 30 + 41m + 7m2 = 0 Solving 30 + 41m + 7m2 = 0 Solving for variable 'm'. Factor a trinomial. (5 + m)(6 + 7m) = 0Subproblem 1
Set the factor '(5 + m)' equal to zero and attempt to solve: Simplifying 5 + m = 0 Solving 5 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + m = 0 + -5 m = 0 + -5 Combine like terms: 0 + -5 = -5 m = -5 Simplifying m = -5Subproblem 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 = {-5, -0.8571428571}
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