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Simplifying -1n2 + 5n + -11 = -5 Reorder the terms: -11 + 5n + -1n2 = -5 Solving -11 + 5n + -1n2 = -5 Solving for variable 'n'. Reorder the terms: -11 + 5 + 5n + -1n2 = -5 + 5 Combine like terms: -11 + 5 = -6 -6 + 5n + -1n2 = -5 + 5 Combine like terms: -5 + 5 = 0 -6 + 5n + -1n2 = 0 Factor a trinomial. (-3 + n)(2 + -1n) = 0Subproblem 1
Set the factor '(-3 + n)' equal to zero and attempt to solve: Simplifying -3 + n = 0 Solving -3 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + n = 0 + 3 Combine like terms: -3 + 3 = 0 0 + n = 0 + 3 n = 0 + 3 Combine like terms: 0 + 3 = 3 n = 3 Simplifying n = 3Subproblem 2
Set the factor '(2 + -1n)' equal to zero and attempt to solve: Simplifying 2 + -1n = 0 Solving 2 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1n = 0 + -2 -1n = 0 + -2 Combine like terms: 0 + -2 = -2 -1n = -2 Divide each side by '-1'. n = 2 Simplifying n = 2Solution
n = {3, 2}
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