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Simplifying 6n2 + -16n = 0 Reorder the terms: -16n + 6n2 = 0 Solving -16n + 6n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '2n'. 2n(-8 + 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 '(-8 + 3n)' equal to zero and attempt to solve: Simplifying -8 + 3n = 0 Solving -8 + 3n = 0 Move all terms containing n to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 3n = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 3n = 0 + 8 3n = 0 + 8 Combine like terms: 0 + 8 = 8 3n = 8 Divide each side by '3'. n = 2.666666667 Simplifying n = 2.666666667Solution
n = {0, 2.666666667}
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