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Simplifying n2 + -4n + -81 = -4 Reorder the terms: -81 + -4n + n2 = -4 Solving -81 + -4n + n2 = -4 Solving for variable 'n'. Reorder the terms: -81 + 4 + -4n + n2 = -4 + 4 Combine like terms: -81 + 4 = -77 -77 + -4n + n2 = -4 + 4 Combine like terms: -4 + 4 = 0 -77 + -4n + n2 = 0 Factor a trinomial. (-7 + -1n)(11 + -1n) = 0Subproblem 1
Set the factor '(-7 + -1n)' equal to zero and attempt to solve: Simplifying -7 + -1n = 0 Solving -7 + -1n = 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 + -1n = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1n = 0 + 7 -1n = 0 + 7 Combine like terms: 0 + 7 = 7 -1n = 7 Divide each side by '-1'. n = -7 Simplifying n = -7Subproblem 2
Set the factor '(11 + -1n)' equal to zero and attempt to solve: Simplifying 11 + -1n = 0 Solving 11 + -1n = 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 + -1n = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1n = 0 + -11 -1n = 0 + -11 Combine like terms: 0 + -11 = -11 -1n = -11 Divide each side by '-1'. n = 11 Simplifying n = 11Solution
n = {-7, 11}
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