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Simplifying 15n2 + -62n + 58 = -5 Reorder the terms: 58 + -62n + 15n2 = -5 Solving 58 + -62n + 15n2 = -5 Solving for variable 'n'. Reorder the terms: 58 + 5 + -62n + 15n2 = -5 + 5 Combine like terms: 58 + 5 = 63 63 + -62n + 15n2 = -5 + 5 Combine like terms: -5 + 5 = 0 63 + -62n + 15n2 = 0 Factor a trinomial. (9 + -5n)(7 + -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 '(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 = 2.333333333Solution
n = {1.8, 2.333333333}
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