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Simplifying 30m2 + 45m + 25 = 5m2 + 7 Reorder the terms: 25 + 45m + 30m2 = 5m2 + 7 Reorder the terms: 25 + 45m + 30m2 = 7 + 5m2 Solving 25 + 45m + 30m2 = 7 + 5m2 Solving for variable 'm'. Reorder the terms: 25 + -7 + 45m + 30m2 + -5m2 = 7 + 5m2 + -7 + -5m2 Combine like terms: 25 + -7 = 18 18 + 45m + 30m2 + -5m2 = 7 + 5m2 + -7 + -5m2 Combine like terms: 30m2 + -5m2 = 25m2 18 + 45m + 25m2 = 7 + 5m2 + -7 + -5m2 Reorder the terms: 18 + 45m + 25m2 = 7 + -7 + 5m2 + -5m2 Combine like terms: 7 + -7 = 0 18 + 45m + 25m2 = 0 + 5m2 + -5m2 18 + 45m + 25m2 = 5m2 + -5m2 Combine like terms: 5m2 + -5m2 = 0 18 + 45m + 25m2 = 0 Factor a trinomial. (6 + 5m)(3 + 5m) = 0Subproblem 1
Set the factor '(6 + 5m)' equal to zero and attempt to solve: Simplifying 6 + 5m = 0 Solving 6 + 5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5m = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5m = 0 + -6 5m = 0 + -6 Combine like terms: 0 + -6 = -6 5m = -6 Divide each side by '5'. m = -1.2 Simplifying m = -1.2Subproblem 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 = {-1.2, -0.6}
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