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Simplifying 4n2 = 32n Solving 4n2 = 32n Solving for variable 'n'. Reorder the terms: -32n + 4n2 = 32n + -32n Combine like terms: 32n + -32n = 0 -32n + 4n2 = 0 Factor out the Greatest Common Factor (GCF), '4n'. 4n(-8 + n) = 0 Ignore the factor 4.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 '(-8 + n)' equal to zero and attempt to solve: Simplifying -8 + n = 0 Solving -8 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + n = 0 + 8 Combine like terms: -8 + 8 = 0 0 + n = 0 + 8 n = 0 + 8 Combine like terms: 0 + 8 = 8 n = 8 Simplifying n = 8Solution
n = {0, 8}
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