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Simplifying 9n2 + -88n + -20 = 0 Reorder the terms: -20 + -88n + 9n2 = 0 Solving -20 + -88n + 9n2 = 0 Solving for variable 'n'. Factor a trinomial. (-2 + -9n)(10 + -1n) = 0Subproblem 1
Set the factor '(-2 + -9n)' equal to zero and attempt to solve: Simplifying -2 + -9n = 0 Solving -2 + -9n = 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 + -9n = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -9n = 0 + 2 -9n = 0 + 2 Combine like terms: 0 + 2 = 2 -9n = 2 Divide each side by '-9'. n = -0.2222222222 Simplifying n = -0.2222222222Subproblem 2
Set the factor '(10 + -1n)' equal to zero and attempt to solve: Simplifying 10 + -1n = 0 Solving 10 + -1n = 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 + -1n = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1n = 0 + -10 -1n = 0 + -10 Combine like terms: 0 + -10 = -10 -1n = -10 Divide each side by '-1'. n = 10 Simplifying n = 10Solution
n = {-0.2222222222, 10}
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