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Simplifying 6n2 + 22n = 0 Reorder the terms: 22n + 6n2 = 0 Solving 22n + 6n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '2n'. 2n(11 + 3n) = 0 Ignore the factor 2.Subproblem 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 '(11 + 3n)' equal to zero and attempt to solve: Simplifying 11 + 3n = 0 Solving 11 + 3n = 0 Move all terms containing n to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 3n = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 3n = 0 + -11 3n = 0 + -11 Combine like terms: 0 + -11 = -11 3n = -11 Divide each side by '3'. n = -3.666666667 Simplifying n = -3.666666667Solution
n = {0, -3.666666667}
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