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Simplifying 2(n2 + n) + -5(n2 + -4n) = 0 Reorder the terms: 2(n + n2) + -5(n2 + -4n) = 0 (n * 2 + n2 * 2) + -5(n2 + -4n) = 0 (2n + 2n2) + -5(n2 + -4n) = 0 Reorder the terms: 2n + 2n2 + -5(-4n + n2) = 0 2n + 2n2 + (-4n * -5 + n2 * -5) = 0 2n + 2n2 + (20n + -5n2) = 0 Reorder the terms: 2n + 20n + 2n2 + -5n2 = 0 Combine like terms: 2n + 20n = 22n 22n + 2n2 + -5n2 = 0 Combine like terms: 2n2 + -5n2 = -3n2 22n + -3n2 = 0 Solving 22n + -3n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), 'n'. n(22 + -3n) = 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 '(22 + -3n)' equal to zero and attempt to solve: Simplifying 22 + -3n = 0 Solving 22 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -3n = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -3n = 0 + -22 -3n = 0 + -22 Combine like terms: 0 + -22 = -22 -3n = -22 Divide each side by '-3'. n = 7.333333333 Simplifying n = 7.333333333Solution
n = {0, 7.333333333}
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