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Simplifying 30m2 + -77m + 48 = 0 Reorder the terms: 48 + -77m + 30m2 = 0 Solving 48 + -77m + 30m2 = 0 Solving for variable 'm'. Factor a trinomial. (16 + -15m)(3 + -2m) = 0Subproblem 1
Set the factor '(16 + -15m)' equal to zero and attempt to solve: Simplifying 16 + -15m = 0 Solving 16 + -15m = 0 Move all terms containing m to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -15m = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -15m = 0 + -16 -15m = 0 + -16 Combine like terms: 0 + -16 = -16 -15m = -16 Divide each side by '-15'. m = 1.066666667 Simplifying m = 1.066666667Subproblem 2
Set the factor '(3 + -2m)' equal to zero and attempt to solve: Simplifying 3 + -2m = 0 Solving 3 + -2m = 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 + -2m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2m = 0 + -3 -2m = 0 + -3 Combine like terms: 0 + -3 = -3 -2m = -3 Divide each side by '-2'. m = 1.5 Simplifying m = 1.5Solution
m = {1.066666667, 1.5}
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