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Simplifying 3n2 + 17n + -930 = 0 Reorder the terms: -930 + 17n + 3n2 = 0 Solving -930 + 17n + 3n2 = 0 Solving for variable 'n'. Factor a trinomial. (-62 + -3n)(15 + -1n) = 0Subproblem 1
Set the factor '(-62 + -3n)' equal to zero and attempt to solve: Simplifying -62 + -3n = 0 Solving -62 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '62' to each side of the equation. -62 + 62 + -3n = 0 + 62 Combine like terms: -62 + 62 = 0 0 + -3n = 0 + 62 -3n = 0 + 62 Combine like terms: 0 + 62 = 62 -3n = 62 Divide each side by '-3'. n = -20.66666667 Simplifying n = -20.66666667Subproblem 2
Set the factor '(15 + -1n)' equal to zero and attempt to solve: Simplifying 15 + -1n = 0 Solving 15 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1n = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1n = 0 + -15 -1n = 0 + -15 Combine like terms: 0 + -15 = -15 -1n = -15 Divide each side by '-1'. n = 15 Simplifying n = 15Solution
n = {-20.66666667, 15}
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