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Simplifying 3n2 + -7n + -136 = 0 Reorder the terms: -136 + -7n + 3n2 = 0 Solving -136 + -7n + 3n2 = 0 Solving for variable 'n'. Factor a trinomial. (-17 + -3n)(8 + -1n) = 0Subproblem 1
Set the factor '(-17 + -3n)' equal to zero and attempt to solve: Simplifying -17 + -3n = 0 Solving -17 + -3n = 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 + -3n = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -3n = 0 + 17 -3n = 0 + 17 Combine like terms: 0 + 17 = 17 -3n = 17 Divide each side by '-3'. n = -5.666666667 Simplifying n = -5.666666667Subproblem 2
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 = 8Solution
n = {-5.666666667, 8}
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