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Simplifying n(n + 11) = 126 Reorder the terms: n(11 + n) = 126 (11 * n + n * n) = 126 (11n + n2) = 126 Solving 11n + n2 = 126 Solving for variable 'n'. Reorder the terms: -126 + 11n + n2 = 126 + -126 Combine like terms: 126 + -126 = 0 -126 + 11n + n2 = 0 Factor a trinomial. (-18 + -1n)(7 + -1n) = 0Subproblem 1
Set the factor '(-18 + -1n)' equal to zero and attempt to solve: Simplifying -18 + -1n = 0 Solving -18 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -1n = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -1n = 0 + 18 -1n = 0 + 18 Combine like terms: 0 + 18 = 18 -1n = 18 Divide each side by '-1'. n = -18 Simplifying n = -18Subproblem 2
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 = 7Solution
n = {-18, 7}
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