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Simplifying 15m2 + -62m + 63 = 0 Reorder the terms: 63 + -62m + 15m2 = 0 Solving 63 + -62m + 15m2 = 0 Solving for variable 'm'. Factor a trinomial. (9 + -5m)(7 + -3m) = 0Subproblem 1
Set the factor '(9 + -5m)' equal to zero and attempt to solve: Simplifying 9 + -5m = 0 Solving 9 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5m = 0 + -9 -5m = 0 + -9 Combine like terms: 0 + -9 = -9 -5m = -9 Divide each side by '-5'. m = 1.8 Simplifying m = 1.8Subproblem 2
Set the factor '(7 + -3m)' equal to zero and attempt to solve: Simplifying 7 + -3m = 0 Solving 7 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3m = 0 + -7 -3m = 0 + -7 Combine like terms: 0 + -7 = -7 -3m = -7 Divide each side by '-3'. m = 2.333333333 Simplifying m = 2.333333333Solution
m = {1.8, 2.333333333}
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