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Simplifying 4m2 + 24m + 35 = 0 Reorder the terms: 35 + 24m + 4m2 = 0 Solving 35 + 24m + 4m2 = 0 Solving for variable 'm'. Factor a trinomial. (7 + 2m)(5 + 2m) = 0Subproblem 1
Set the factor '(7 + 2m)' equal to zero and attempt to solve: Simplifying 7 + 2m = 0 Solving 7 + 2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2m = 0 + -7 2m = 0 + -7 Combine like terms: 0 + -7 = -7 2m = -7 Divide each side by '2'. m = -3.5 Simplifying m = -3.5Subproblem 2
Set the factor '(5 + 2m)' equal to zero and attempt to solve: Simplifying 5 + 2m = 0 Solving 5 + 2m = 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 + 2m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2m = 0 + -5 2m = 0 + -5 Combine like terms: 0 + -5 = -5 2m = -5 Divide each side by '2'. m = -2.5 Simplifying m = -2.5Solution
m = {-3.5, -2.5}
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