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Simplifying 15n2 + -82n + 99 = 0 Reorder the terms: 99 + -82n + 15n2 = 0 Solving 99 + -82n + 15n2 = 0 Solving for variable 'n'. Factor a trinomial. (9 + -5n)(11 + -3n) = 0Subproblem 1
Set the factor '(9 + -5n)' equal to zero and attempt to solve: Simplifying 9 + -5n = 0 Solving 9 + -5n = 0 Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5n = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5n = 0 + -9 -5n = 0 + -9 Combine like terms: 0 + -9 = -9 -5n = -9 Divide each side by '-5'. n = 1.8 Simplifying n = 1.8Subproblem 2
Set the factor '(11 + -3n)' equal to zero and attempt to solve: Simplifying 11 + -3n = 0 Solving 11 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -3n = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -3n = 0 + -11 -3n = 0 + -11 Combine like terms: 0 + -11 = -11 -3n = -11 Divide each side by '-3'. n = 3.666666667 Simplifying n = 3.666666667Solution
n = {1.8, 3.666666667}
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