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Simplifying 2n2 + -1n + -136 = 0 Reorder the terms: -136 + -1n + 2n2 = 0 Solving -136 + -1n + 2n2 = 0 Solving for variable 'n'. Factor a trinomial. (-8 + -1n)(17 + -2n) = 0Subproblem 1
Set the factor '(-8 + -1n)' equal to zero and attempt to solve: Simplifying -8 + -1n = 0 Solving -8 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1n = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1n = 0 + 8 -1n = 0 + 8 Combine like terms: 0 + 8 = 8 -1n = 8 Divide each side by '-1'. n = -8 Simplifying n = -8Subproblem 2
Set the factor '(17 + -2n)' equal to zero and attempt to solve: Simplifying 17 + -2n = 0 Solving 17 + -2n = 0 Move all terms containing n to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -2n = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -2n = 0 + -17 -2n = 0 + -17 Combine like terms: 0 + -17 = -17 -2n = -17 Divide each side by '-2'. n = 8.5 Simplifying n = 8.5Solution
n = {-8, 8.5}
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