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Simplifying n2 + -34n + 288 = 0 Reorder the terms: 288 + -34n + n2 = 0 Solving 288 + -34n + n2 = 0 Solving for variable 'n'. Factor a trinomial. (16 + -1n)(18 + -1n) = 0Subproblem 1
Set the factor '(16 + -1n)' equal to zero and attempt to solve: Simplifying 16 + -1n = 0 Solving 16 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1n = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1n = 0 + -16 -1n = 0 + -16 Combine like terms: 0 + -16 = -16 -1n = -16 Divide each side by '-1'. n = 16 Simplifying n = 16Subproblem 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 = {16, 18}
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