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Simplifying 6n(n + -5) + -11n = 0 Reorder the terms: 6n(-5 + n) + -11n = 0 (-5 * 6n + n * 6n) + -11n = 0 (-30n + 6n2) + -11n = 0 Reorder the terms: -30n + -11n + 6n2 = 0 Combine like terms: -30n + -11n = -41n -41n + 6n2 = 0 Solving -41n + 6n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), 'n'. n(-41 + 6n) = 0Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n = 0Subproblem 2
Set the factor '(-41 + 6n)' equal to zero and attempt to solve: Simplifying -41 + 6n = 0 Solving -41 + 6n = 0 Move all terms containing n to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + 6n = 0 + 41 Combine like terms: -41 + 41 = 0 0 + 6n = 0 + 41 6n = 0 + 41 Combine like terms: 0 + 41 = 41 6n = 41 Divide each side by '6'. n = 6.833333333 Simplifying n = 6.833333333Solution
n = {0, 6.833333333}
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