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Simplifying 4n2 + 8n + 3n = 0 Reorder the terms: 8n + 3n + 4n2 = 0 Combine like terms: 8n + 3n = 11n 11n + 4n2 = 0 Solving 11n + 4n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), 'n'. n(11 + 4n) = 0Subproblem 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 '(11 + 4n)' equal to zero and attempt to solve: Simplifying 11 + 4n = 0 Solving 11 + 4n = 0 Move all terms containing n to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 4n = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 4n = 0 + -11 4n = 0 + -11 Combine like terms: 0 + -11 = -11 4n = -11 Divide each side by '4'. n = -2.75 Simplifying n = -2.75Solution
n = {0, -2.75}
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