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Simplifying 4n(2n + -5) = 0 Reorder the terms: 4n(-5 + 2n) = 0 (-5 * 4n + 2n * 4n) = 0 (-20n + 8n2) = 0 Solving -20n + 8n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '4n'. 4n(-5 + 2n) = 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 '(-5 + 2n)' equal to zero and attempt to solve: Simplifying -5 + 2n = 0 Solving -5 + 2n = 0 Move all terms containing n to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2n = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2n = 0 + 5 2n = 0 + 5 Combine like terms: 0 + 5 = 5 2n = 5 Divide each side by '2'. n = 2.5 Simplifying n = 2.5Solution
n = {0, 2.5}
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