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Simplifying 6n2 = 10n Solving 6n2 = 10n Solving for variable 'n'. Reorder the terms: -10n + 6n2 = 10n + -10n Combine like terms: 10n + -10n = 0 -10n + 6n2 = 0 Factor out the Greatest Common Factor (GCF), '2n'. 2n(-5 + 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 '(-5 + 3n)' equal to zero and attempt to solve: Simplifying -5 + 3n = 0 Solving -5 + 3n = 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 + 3n = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3n = 0 + 5 3n = 0 + 5 Combine like terms: 0 + 5 = 5 3n = 5 Divide each side by '3'. n = 1.666666667 Simplifying n = 1.666666667Solution
n = {0, 1.666666667}
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