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Simplifying 8n(4n + -7) = 0 Reorder the terms: 8n(-7 + 4n) = 0 (-7 * 8n + 4n * 8n) = 0 (-56n + 32n2) = 0 Solving -56n + 32n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '8n'. 8n(-7 + 4n) = 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 '(-7 + 4n)' equal to zero and attempt to solve: Simplifying -7 + 4n = 0 Solving -7 + 4n = 0 Move all terms containing n to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 4n = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 4n = 0 + 7 4n = 0 + 7 Combine like terms: 0 + 7 = 7 4n = 7 Divide each side by '4'. n = 1.75 Simplifying n = 1.75Solution
n = {0, 1.75}
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