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Simplifying 47n = 6n2 Solving 47n = 6n2 Solving for variable 'n'. Combine like terms: 6n2 + -6n2 = 0 47n + -6n2 = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(47 + -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 '(47 + -6n)' equal to zero and attempt to solve: Simplifying 47 + -6n = 0 Solving 47 + -6n = 0 Move all terms containing n to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + -6n = 0 + -47 Combine like terms: 47 + -47 = 0 0 + -6n = 0 + -47 -6n = 0 + -47 Combine like terms: 0 + -47 = -47 -6n = -47 Divide each side by '-6'. n = 7.833333333 Simplifying n = 7.833333333Solution
n = {0, 7.833333333}
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