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Simplifying -2(10m + -2) = -25m2 Reorder the terms: -2(-2 + 10m) = -25m2 (-2 * -2 + 10m * -2) = -25m2 (4 + -20m) = -25m2 Solving 4 + -20m = -25m2 Solving for variable 'm'. Combine like terms: -25m2 + 25m2 = 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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