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Simplifying 8n2 + -28n = 0 Reorder the terms: -28n + 8n2 = 0 Solving -28n + 8n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '4n'. 4n(-7 + 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 '(-7 + 2n)' equal to zero and attempt to solve: Simplifying -7 + 2n = 0 Solving -7 + 2n = 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 + 2n = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2n = 0 + 7 2n = 0 + 7 Combine like terms: 0 + 7 = 7 2n = 7 Divide each side by '2'. n = 3.5 Simplifying n = 3.5Solution
n = {0, 3.5}
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