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Simplifying 10n2 + -41n + -45 = 0 Reorder the terms: -45 + -41n + 10n2 = 0 Solving -45 + -41n + 10n2 = 0 Solving for variable 'n'. Factor a trinomial. (-9 + -10n)(5 + -1n) = 0Subproblem 1
Set the factor '(-9 + -10n)' equal to zero and attempt to solve: Simplifying -9 + -10n = 0 Solving -9 + -10n = 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 + -10n = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -10n = 0 + 9 -10n = 0 + 9 Combine like terms: 0 + 9 = 9 -10n = 9 Divide each side by '-10'. n = -0.9 Simplifying n = -0.9Subproblem 2
Set the factor '(5 + -1n)' equal to zero and attempt to solve: Simplifying 5 + -1n = 0 Solving 5 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1n = 0 + -5 -1n = 0 + -5 Combine like terms: 0 + -5 = -5 -1n = -5 Divide each side by '-1'. n = 5 Simplifying n = 5Solution
n = {-0.9, 5}
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