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Simplifying 8n2 = 33n Solving 8n2 = 33n Solving for variable 'n'. Reorder the terms: -33n + 8n2 = 33n + -33n Combine like terms: 33n + -33n = 0 -33n + 8n2 = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-33 + 8n) = 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 '(-33 + 8n)' equal to zero and attempt to solve: Simplifying -33 + 8n = 0 Solving -33 + 8n = 0 Move all terms containing n to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 8n = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 8n = 0 + 33 8n = 0 + 33 Combine like terms: 0 + 33 = 33 8n = 33 Divide each side by '8'. n = 4.125 Simplifying n = 4.125Solution
n = {0, 4.125}
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