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Simplifying 20 = n2 + n Reorder the terms: 20 = n + n2 Solving 20 = n + n2 Solving for variable 'n'. Reorder the terms: 20 + -1n + -1n2 = n + -1n + n2 + -1n2 Combine like terms: n + -1n = 0 20 + -1n + -1n2 = 0 + n2 + -1n2 20 + -1n + -1n2 = n2 + -1n2 Combine like terms: n2 + -1n2 = 0 20 + -1n + -1n2 = 0 Factor a trinomial. (4 + -1n)(5 + n) = 0Subproblem 1
Set the factor '(4 + -1n)' equal to zero and attempt to solve: Simplifying 4 + -1n = 0 Solving 4 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1n = 0 + -4 -1n = 0 + -4 Combine like terms: 0 + -4 = -4 -1n = -4 Divide each side by '-1'. n = 4 Simplifying n = 4Subproblem 2
Set the factor '(5 + n)' equal to zero and attempt to solve: Simplifying 5 + n = 0 Solving 5 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + n = 0 + -5 n = 0 + -5 Combine like terms: 0 + -5 = -5 n = -5 Simplifying n = -5Solution
n = {4, -5}
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