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Simplifying 8n2 + 14n = 0 Reorder the terms: 14n + 8n2 = 0 Solving 14n + 8n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '2n'. 2n(7 + 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 '(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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