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Simplifying (3n2 + 4n) + (n2 + n) = 0 Reorder the terms: (4n + 3n2) + (n2 + n) = 0 Remove parenthesis around (4n + 3n2) 4n + 3n2 + (n2 + n) = 0 Reorder the terms: 4n + 3n2 + (n + n2) = 0 Remove parenthesis around (n + n2) 4n + 3n2 + n + n2 = 0 Reorder the terms: 4n + n + 3n2 + n2 = 0 Combine like terms: 4n + n = 5n 5n + 3n2 + n2 = 0 Combine like terms: 3n2 + n2 = 4n2 5n + 4n2 = 0 Solving 5n + 4n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), 'n'. n(5 + 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 '(5 + 4n)' equal to zero and attempt to solve: Simplifying 5 + 4n = 0 Solving 5 + 4n = 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 + 4n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4n = 0 + -5 4n = 0 + -5 Combine like terms: 0 + -5 = -5 4n = -5 Divide each side by '4'. n = -1.25 Simplifying n = -1.25Solution
n = {0, -1.25}
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