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Simplifying 9n2 + 10n + -16 = 0 Reorder the terms: -16 + 10n + 9n2 = 0 Solving -16 + 10n + 9n2 = 0 Solving for variable 'n'. Factor a trinomial. (-2 + -1n)(8 + -9n) = 0Subproblem 1
Set the factor '(-2 + -1n)' equal to zero and attempt to solve: Simplifying -2 + -1n = 0 Solving -2 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1n = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1n = 0 + 2 -1n = 0 + 2 Combine like terms: 0 + 2 = 2 -1n = 2 Divide each side by '-1'. n = -2 Simplifying n = -2Subproblem 2
Set the factor '(8 + -9n)' equal to zero and attempt to solve: Simplifying 8 + -9n = 0 Solving 8 + -9n = 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 + -9n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -9n = 0 + -8 -9n = 0 + -8 Combine like terms: 0 + -8 = -8 -9n = -8 Divide each side by '-9'. n = 0.8888888889 Simplifying n = 0.8888888889Solution
n = {-2, 0.8888888889}
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