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Simplifying 3n2 = -5 + -8n Solving 3n2 = -5 + -8n Solving for variable 'n'. Reorder the terms: 5 + 8n + 3n2 = -5 + -8n + 5 + 8n Reorder the terms: 5 + 8n + 3n2 = -5 + 5 + -8n + 8n Combine like terms: -5 + 5 = 0 5 + 8n + 3n2 = 0 + -8n + 8n 5 + 8n + 3n2 = -8n + 8n Combine like terms: -8n + 8n = 0 5 + 8n + 3n2 = 0 Factor a trinomial. (5 + 3n)(1 + n) = 0Subproblem 1
Set the factor '(5 + 3n)' equal to zero and attempt to solve: Simplifying 5 + 3n = 0 Solving 5 + 3n = 0 Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3n = 0 + -5 3n = 0 + -5 Combine like terms: 0 + -5 = -5 3n = -5 Divide each side by '3'. n = -1.666666667 Simplifying n = -1.666666667Subproblem 2
Set the factor '(1 + n)' equal to zero and attempt to solve: Simplifying 1 + n = 0 Solving 1 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + n = 0 + -1 n = 0 + -1 Combine like terms: 0 + -1 = -1 n = -1 Simplifying n = -1Solution
n = {-1.666666667, -1}
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