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Simplifying (5m + 4)(5m + 4) = 0 Reorder the terms: (4 + 5m)(5m + 4) = 0 Reorder the terms: (4 + 5m)(4 + 5m) = 0 Multiply (4 + 5m) * (4 + 5m) (4(4 + 5m) + 5m * (4 + 5m)) = 0 ((4 * 4 + 5m * 4) + 5m * (4 + 5m)) = 0 ((16 + 20m) + 5m * (4 + 5m)) = 0 (16 + 20m + (4 * 5m + 5m * 5m)) = 0 (16 + 20m + (20m + 25m2)) = 0 Combine like terms: 20m + 20m = 40m (16 + 40m + 25m2) = 0 Solving 16 + 40m + 25m2 = 0 Solving for variable 'm'. Factor a trinomial. (4 + 5m)(4 + 5m) = 0Subproblem 1
Set the factor '(4 + 5m)' equal to zero and attempt to solve: Simplifying 4 + 5m = 0 Solving 4 + 5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5m = 0 + -4 5m = 0 + -4 Combine like terms: 0 + -4 = -4 5m = -4 Divide each side by '5'. m = -0.8 Simplifying m = -0.8Subproblem 2
Set the factor '(4 + 5m)' equal to zero and attempt to solve: Simplifying 4 + 5m = 0 Solving 4 + 5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5m = 0 + -4 5m = 0 + -4 Combine like terms: 0 + -4 = -4 5m = -4 Divide each side by '5'. m = -0.8 Simplifying m = -0.8Solution
m = {-0.8, -0.8}
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