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Simplifying n2 + 16n = 36 Reorder the terms: 16n + n2 = 36 Solving 16n + n2 = 36 Solving for variable 'n'. Reorder the terms: -36 + 16n + n2 = 36 + -36 Combine like terms: 36 + -36 = 0 -36 + 16n + n2 = 0 Factor a trinomial. (-18 + -1n)(2 + -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 '(2 + -1n)' equal to zero and attempt to solve: Simplifying 2 + -1n = 0 Solving 2 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1n = 0 + -2 -1n = 0 + -2 Combine like terms: 0 + -2 = -2 -1n = -2 Divide each side by '-1'. n = 2 Simplifying n = 2Solution
n = {-18, 2}
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