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Simplifying 25m2 = 30m + -9 Reorder the terms: 25m2 = -9 + 30m Solving 25m2 = -9 + 30m Solving for variable 'm'. Reorder the terms: 9 + -30m + 25m2 = -9 + 30m + 9 + -30m Reorder the terms: 9 + -30m + 25m2 = -9 + 9 + 30m + -30m Combine like terms: -9 + 9 = 0 9 + -30m + 25m2 = 0 + 30m + -30m 9 + -30m + 25m2 = 30m + -30m Combine like terms: 30m + -30m = 0 9 + -30m + 25m2 = 0 Factor a trinomial. (3 + -5m)(3 + -5m) = 0Subproblem 1
Set the factor '(3 + -5m)' equal to zero and attempt to solve: Simplifying 3 + -5m = 0 Solving 3 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5m = 0 + -3 -5m = 0 + -3 Combine like terms: 0 + -3 = -3 -5m = -3 Divide each side by '-5'. m = 0.6 Simplifying m = 0.6Subproblem 2
Set the factor '(3 + -5m)' equal to zero and attempt to solve: Simplifying 3 + -5m = 0 Solving 3 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5m = 0 + -3 -5m = 0 + -3 Combine like terms: 0 + -3 = -3 -5m = -3 Divide each side by '-5'. m = 0.6 Simplifying m = 0.6Solution
m = {0.6, 0.6}
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