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Simplifying 2n(4n + -1p) = 0 (4n * 2n + -1p * 2n) = 0 Reorder the terms: (-2np + 8n2) = 0 (-2np + 8n2) = 0 Solving -2np + 8n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '2n'. 2n(-1p + 4n) = 0 Ignore the factor 2.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 '(-1p + 4n)' equal to zero and attempt to solve: Simplifying -1p + 4n = 0 Reorder the terms: 4n + -1p = 0 Solving 4n + -1p = 0 Move all terms containing n to the left, all other terms to the right. Add 'p' to each side of the equation. 4n + -1p + p = 0 + p Combine like terms: -1p + p = 0 4n + 0 = 0 + p 4n = 0 + p Remove the zero: 4n = p Divide each side by '4'. n = 0.25p Simplifying n = 0.25pSolution
n = {0, 0.25p}
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