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Simplifying 9n2 + 68n + -32 = 0 Reorder the terms: -32 + 68n + 9n2 = 0 Solving -32 + 68n + 9n2 = 0 Solving for variable 'n'. Factor a trinomial. (-8 + -1n)(4 + -9n) = 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 '(4 + -9n)' equal to zero and attempt to solve: Simplifying 4 + -9n = 0 Solving 4 + -9n = 0 Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -9n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9n = 0 + -4 -9n = 0 + -4 Combine like terms: 0 + -4 = -4 -9n = -4 Divide each side by '-9'. n = 0.4444444444 Simplifying n = 0.4444444444Solution
n = {-8, 0.4444444444}
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