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Simplifying (5m + 1)(5m + 1) = 0 Reorder the terms: (1 + 5m)(5m + 1) = 0 Reorder the terms: (1 + 5m)(1 + 5m) = 0 Multiply (1 + 5m) * (1 + 5m) (1(1 + 5m) + 5m * (1 + 5m)) = 0 ((1 * 1 + 5m * 1) + 5m * (1 + 5m)) = 0 ((1 + 5m) + 5m * (1 + 5m)) = 0 (1 + 5m + (1 * 5m + 5m * 5m)) = 0 (1 + 5m + (5m + 25m2)) = 0 Combine like terms: 5m + 5m = 10m (1 + 10m + 25m2) = 0 Solving 1 + 10m + 25m2 = 0 Solving for variable 'm'. Factor a trinomial. (1 + 5m)(1 + 5m) = 0Subproblem 1
Set the factor '(1 + 5m)' equal to zero and attempt to solve: Simplifying 1 + 5m = 0 Solving 1 + 5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5m = 0 + -1 5m = 0 + -1 Combine like terms: 0 + -1 = -1 5m = -1 Divide each side by '5'. m = -0.2 Simplifying m = -0.2Subproblem 2
Set the factor '(1 + 5m)' equal to zero and attempt to solve: Simplifying 1 + 5m = 0 Solving 1 + 5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5m = 0 + -1 5m = 0 + -1 Combine like terms: 0 + -1 = -1 5m = -1 Divide each side by '5'. m = -0.2 Simplifying m = -0.2Solution
m = {-0.2, -0.2}
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