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Simplifying 3n2 + 8n = 11 Reorder the terms: 8n + 3n2 = 11 Solving 8n + 3n2 = 11 Solving for variable 'n'. Reorder the terms: -11 + 8n + 3n2 = 11 + -11 Combine like terms: 11 + -11 = 0 -11 + 8n + 3n2 = 0 Factor a trinomial. (-11 + -3n)(1 + -1n) = 0Subproblem 1
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 = -3.666666667Subproblem 2
Set the factor '(1 + -1n)' equal to zero and attempt to solve: Simplifying 1 + -1n = 0 Solving 1 + -1n = 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 + -1n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1n = 0 + -1 -1n = 0 + -1 Combine like terms: 0 + -1 = -1 -1n = -1 Divide each side by '-1'. n = 1 Simplifying n = 1Solution
n = {-3.666666667, 1}
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