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Simplifying 9n2 + -91n + 90 = 0 Reorder the terms: 90 + -91n + 9n2 = 0 Solving 90 + -91n + 9n2 = 0 Solving for variable 'n'. Factor a trinomial. (10 + -9n)(9 + -1n) = 0Subproblem 1
Set the factor '(10 + -9n)' equal to zero and attempt to solve: Simplifying 10 + -9n = 0 Solving 10 + -9n = 0 Move all terms containing n to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -9n = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -9n = 0 + -10 -9n = 0 + -10 Combine like terms: 0 + -10 = -10 -9n = -10 Divide each side by '-9'. n = 1.111111111 Simplifying n = 1.111111111Subproblem 2
Set the factor '(9 + -1n)' equal to zero and attempt to solve: Simplifying 9 + -1n = 0 Solving 9 + -1n = 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 + -1n = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1n = 0 + -9 -1n = 0 + -9 Combine like terms: 0 + -9 = -9 -1n = -9 Divide each side by '-1'. n = 9 Simplifying n = 9Solution
n = {1.111111111, 9}
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