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Simplifying 7m(7m + 10) = -25 Reorder the terms: 7m(10 + 7m) = -25 (10 * 7m + 7m * 7m) = -25 (70m + 49m2) = -25 Solving 70m + 49m2 = -25 Solving for variable 'm'. Reorder the terms: 25 + 70m + 49m2 = -25 + 25 Combine like terms: -25 + 25 = 0 25 + 70m + 49m2 = 0 Factor a trinomial. (5 + 7m)(5 + 7m) = 0Subproblem 1
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 = -0.7142857143Subproblem 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 = {-0.7142857143, -0.7142857143}
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