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Simplifying 6n2 + -1n + -126 = 0 Reorder the terms: -126 + -1n + 6n2 = 0 Solving -126 + -1n + 6n2 = 0 Solving for variable 'n'. Factor a trinomial. (-9 + -2n)(14 + -3n) = 0Subproblem 1
Set the factor '(-9 + -2n)' equal to zero and attempt to solve: Simplifying -9 + -2n = 0 Solving -9 + -2n = 0 Move all terms containing n to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -2n = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2n = 0 + 9 -2n = 0 + 9 Combine like terms: 0 + 9 = 9 -2n = 9 Divide each side by '-2'. n = -4.5 Simplifying n = -4.5Subproblem 2
Set the factor '(14 + -3n)' equal to zero and attempt to solve: Simplifying 14 + -3n = 0 Solving 14 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -3n = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -3n = 0 + -14 -3n = 0 + -14 Combine like terms: 0 + -14 = -14 -3n = -14 Divide each side by '-3'. n = 4.666666667 Simplifying n = 4.666666667Solution
n = {-4.5, 4.666666667}
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