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Simplifying (9n + -1)(9n + -8) = 0 Reorder the terms: (-1 + 9n)(9n + -8) = 0 Reorder the terms: (-1 + 9n)(-8 + 9n) = 0 Multiply (-1 + 9n) * (-8 + 9n) (-1(-8 + 9n) + 9n * (-8 + 9n)) = 0 ((-8 * -1 + 9n * -1) + 9n * (-8 + 9n)) = 0 ((8 + -9n) + 9n * (-8 + 9n)) = 0 (8 + -9n + (-8 * 9n + 9n * 9n)) = 0 (8 + -9n + (-72n + 81n2)) = 0 Combine like terms: -9n + -72n = -81n (8 + -81n + 81n2) = 0 Solving 8 + -81n + 81n2 = 0 Solving for variable 'n'. Factor a trinomial. (1 + -9n)(8 + -9n) = 0Subproblem 1
Set the factor '(1 + -9n)' equal to zero and attempt to solve: Simplifying 1 + -9n = 0 Solving 1 + -9n = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -9n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -9n = 0 + -1 -9n = 0 + -1 Combine like terms: 0 + -1 = -1 -9n = -1 Divide each side by '-9'. n = 0.1111111111 Simplifying n = 0.1111111111Subproblem 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 = {0.1111111111, 0.8888888889}
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