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Simplifying 6n2 = 282n Solving 6n2 = 282n Solving for variable 'n'. Reorder the terms: -282n + 6n2 = 282n + -282n Combine like terms: 282n + -282n = 0 -282n + 6n2 = 0 Factor out the Greatest Common Factor (GCF), '6n'. 6n(-47 + n) = 0 Ignore the factor 6.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 '(-47 + n)' equal to zero and attempt to solve: Simplifying -47 + n = 0 Solving -47 + n = 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 + n = 0 + 47 Combine like terms: -47 + 47 = 0 0 + n = 0 + 47 n = 0 + 47 Combine like terms: 0 + 47 = 47 n = 47 Simplifying n = 47Solution
n = {0, 47}
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