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Simplifying 8n2 + 71n + -90 = 0 Reorder the terms: -90 + 71n + 8n2 = 0 Solving -90 + 71n + 8n2 = 0 Solving for variable 'n'. Factor a trinomial. (-10 + -1n)(9 + -8n) = 0Subproblem 1
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 = -10Subproblem 2
Set the factor '(9 + -8n)' equal to zero and attempt to solve: Simplifying 9 + -8n = 0 Solving 9 + -8n = 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 + -8n = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8n = 0 + -9 -8n = 0 + -9 Combine like terms: 0 + -9 = -9 -8n = -9 Divide each side by '-8'. n = 1.125 Simplifying n = 1.125Solution
n = {-10, 1.125}
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