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Simplifying 15n2 + 59n + 61 = 5 Reorder the terms: 61 + 59n + 15n2 = 5 Solving 61 + 59n + 15n2 = 5 Solving for variable 'n'. Reorder the terms: 61 + -5 + 59n + 15n2 = 5 + -5 Combine like terms: 61 + -5 = 56 56 + 59n + 15n2 = 5 + -5 Combine like terms: 5 + -5 = 0 56 + 59n + 15n2 = 0 Factor a trinomial. (7 + 3n)(8 + 5n) = 0Subproblem 1
Set the factor '(7 + 3n)' equal to zero and attempt to solve: Simplifying 7 + 3n = 0 Solving 7 + 3n = 0 Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3n = 0 + -7 3n = 0 + -7 Combine like terms: 0 + -7 = -7 3n = -7 Divide each side by '3'. n = -2.333333333 Simplifying n = -2.333333333Subproblem 2
Set the factor '(8 + 5n)' equal to zero and attempt to solve: Simplifying 8 + 5n = 0 Solving 8 + 5n = 0 Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5n = 0 + -8 5n = 0 + -8 Combine like terms: 0 + -8 = -8 5n = -8 Divide each side by '5'. n = -1.6 Simplifying n = -1.6Solution
n = {-2.333333333, -1.6}
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