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Simplifying 9n2 + -64n + -64 = 0 Reorder the terms: -64 + -64n + 9n2 = 0 Solving -64 + -64n + 9n2 = 0 Solving for variable 'n'. Factor a trinomial. (-8 + -9n)(8 + -1n) = 0Subproblem 1
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 = -0.8888888889Subproblem 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 = {-0.8888888889, 8}
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