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Simplifying 36 = n2 + 5n Reorder the terms: 36 = 5n + n2 Solving 36 = 5n + n2 Solving for variable 'n'. Reorder the terms: 36 + -5n + -1n2 = 5n + -5n + n2 + -1n2 Combine like terms: 5n + -5n = 0 36 + -5n + -1n2 = 0 + n2 + -1n2 36 + -5n + -1n2 = n2 + -1n2 Combine like terms: n2 + -1n2 = 0 36 + -5n + -1n2 = 0 Factor a trinomial. (4 + -1n)(9 + 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 '(9 + n)' equal to zero and attempt to solve: Simplifying 9 + n = 0 Solving 9 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + n = 0 + -9 Combine like terms: 9 + -9 = 0 0 + n = 0 + -9 n = 0 + -9 Combine like terms: 0 + -9 = -9 n = -9 Simplifying n = -9Solution
n = {4, -9}
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