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Simplifying 8n2 = 48n Solving 8n2 = 48n Solving for variable 'n'. Reorder the terms: -48n + 8n2 = 48n + -48n Combine like terms: 48n + -48n = 0 -48n + 8n2 = 0 Factor out the Greatest Common Factor (GCF), '8n'. 8n(-6 + n) = 0 Ignore the factor 8.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 '(-6 + n)' equal to zero and attempt to solve: Simplifying -6 + n = 0 Solving -6 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + n = 0 + 6 Combine like terms: -6 + 6 = 0 0 + n = 0 + 6 n = 0 + 6 Combine like terms: 0 + 6 = 6 n = 6 Simplifying n = 6Solution
n = {0, 6}
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