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Simplifying (n2) + -3n + -270 = 0 n2 + -3n + -270 = 0 Reorder the terms: -270 + -3n + n2 = 0 Solving -270 + -3n + n2 = 0 Solving for variable 'n'. Factor a trinomial. (-15 + -1n)(18 + -1n) = 0Subproblem 1
Set the factor '(-15 + -1n)' equal to zero and attempt to solve: Simplifying -15 + -1n = 0 Solving -15 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1n = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1n = 0 + 15 -1n = 0 + 15 Combine like terms: 0 + 15 = 15 -1n = 15 Divide each side by '-1'. n = -15 Simplifying n = -15Subproblem 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 = {-15, 18}
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