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Simplifying 66 = n2 + 5n Reorder the terms: 66 = 5n + n2 Solving 66 = 5n + n2 Solving for variable 'n'. Reorder the terms: 66 + -5n + -1n2 = 5n + -5n + n2 + -1n2 Combine like terms: 5n + -5n = 0 66 + -5n + -1n2 = 0 + n2 + -1n2 66 + -5n + -1n2 = n2 + -1n2 Combine like terms: n2 + -1n2 = 0 66 + -5n + -1n2 = 0 Factor a trinomial. (6 + -1n)(11 + n) = 0Subproblem 1
Set the factor '(6 + -1n)' equal to zero and attempt to solve: Simplifying 6 + -1n = 0 Solving 6 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1n = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1n = 0 + -6 -1n = 0 + -6 Combine like terms: 0 + -6 = -6 -1n = -6 Divide each side by '-1'. n = 6 Simplifying n = 6Subproblem 2
Set the factor '(11 + n)' equal to zero and attempt to solve: Simplifying 11 + n = 0 Solving 11 + n = 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 + n = 0 + -11 Combine like terms: 11 + -11 = 0 0 + n = 0 + -11 n = 0 + -11 Combine like terms: 0 + -11 = -11 n = -11 Simplifying n = -11Solution
n = {6, -11}
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