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Simplifying 5n2 + -44n + -9 = 0 Reorder the terms: -9 + -44n + 5n2 = 0 Solving -9 + -44n + 5n2 = 0 Solving for variable 'n'. Factor a trinomial. (-1 + -5n)(9 + -1n) = 0Subproblem 1
Set the factor '(-1 + -5n)' equal to zero and attempt to solve: Simplifying -1 + -5n = 0 Solving -1 + -5n = 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 + -5n = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5n = 0 + 1 -5n = 0 + 1 Combine like terms: 0 + 1 = 1 -5n = 1 Divide each side by '-5'. n = -0.2 Simplifying n = -0.2Subproblem 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 = {-0.2, 9}
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