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Simplifying 5m(5m + 4) = -4 Reorder the terms: 5m(4 + 5m) = -4 (4 * 5m + 5m * 5m) = -4 (20m + 25m2) = -4 Solving 20m + 25m2 = -4 Solving for variable 'm'. Reorder the terms: 4 + 20m + 25m2 = -4 + 4 Combine like terms: -4 + 4 = 0 4 + 20m + 25m2 = 0 Factor a trinomial. (2 + 5m)(2 + 5m) = 0Subproblem 1
Set the factor '(2 + 5m)' equal to zero and attempt to solve: Simplifying 2 + 5m = 0 Solving 2 + 5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5m = 0 + -2 5m = 0 + -2 Combine like terms: 0 + -2 = -2 5m = -2 Divide each side by '5'. m = -0.4 Simplifying m = -0.4Subproblem 2
Set the factor '(2 + 5m)' equal to zero and attempt to solve: Simplifying 2 + 5m = 0 Solving 2 + 5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5m = 0 + -2 5m = 0 + -2 Combine like terms: 0 + -2 = -2 5m = -2 Divide each side by '5'. m = -0.4 Simplifying m = -0.4Solution
m = {-0.4, -0.4}
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