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Simplifying n(n + 2) = 360 Reorder the terms: n(2 + n) = 360 (2 * n + n * n) = 360 (2n + n2) = 360 Solving 2n + n2 = 360 Solving for variable 'n'. Reorder the terms: -360 + 2n + n2 = 360 + -360 Combine like terms: 360 + -360 = 0 -360 + 2n + n2 = 0 Factor a trinomial. (-20 + -1n)(18 + -1n) = 0Subproblem 1
Set the factor '(-20 + -1n)' equal to zero and attempt to solve: Simplifying -20 + -1n = 0 Solving -20 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -1n = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -1n = 0 + 20 -1n = 0 + 20 Combine like terms: 0 + 20 = 20 -1n = 20 Divide each side by '-1'. n = -20 Simplifying n = -20Subproblem 2
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 = 18Solution
n = {-20, 18}
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