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Simplifying 9n2 + 26n + -40 = 0 Reorder the terms: -40 + 26n + 9n2 = 0 Solving -40 + 26n + 9n2 = 0 Solving for variable 'n'. Factor a trinomial. (-4 + -1n)(10 + -9n) = 0Subproblem 1
Set the factor '(-4 + -1n)' equal to zero and attempt to solve: Simplifying -4 + -1n = 0 Solving -4 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1n = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1n = 0 + 4 -1n = 0 + 4 Combine like terms: 0 + 4 = 4 -1n = 4 Divide each side by '-1'. n = -4 Simplifying n = -4Subproblem 2
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 = 1.111111111Solution
n = {-4, 1.111111111}
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