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Simplifying 14m2 + 45m + 25 = 0 Reorder the terms: 25 + 45m + 14m2 = 0 Solving 25 + 45m + 14m2 = 0 Solving for variable 'm'. Factor a trinomial. (5 + 2m)(5 + 7m) = 0Subproblem 1
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 = -2.5Subproblem 2
Set the factor '(5 + 7m)' equal to zero and attempt to solve: Simplifying 5 + 7m = 0 Solving 5 + 7m = 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 + 7m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7m = 0 + -5 7m = 0 + -5 Combine like terms: 0 + -5 = -5 7m = -5 Divide each side by '7'. m = -0.7142857143 Simplifying m = -0.7142857143Solution
m = {-2.5, -0.7142857143}
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