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Simplifying 3n2 + 6n + -16872 = 0 Reorder the terms: -16872 + 6n + 3n2 = 0 Solving -16872 + 6n + 3n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '3'. 3(-5624 + 2n + n2) = 0 Factor a trinomial. 3((-76 + -1n)(74 + -1n)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-76 + -1n)' equal to zero and attempt to solve: Simplifying -76 + -1n = 0 Solving -76 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '76' to each side of the equation. -76 + 76 + -1n = 0 + 76 Combine like terms: -76 + 76 = 0 0 + -1n = 0 + 76 -1n = 0 + 76 Combine like terms: 0 + 76 = 76 -1n = 76 Divide each side by '-1'. n = -76 Simplifying n = -76Subproblem 2
Set the factor '(74 + -1n)' equal to zero and attempt to solve: Simplifying 74 + -1n = 0 Solving 74 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-74' to each side of the equation. 74 + -74 + -1n = 0 + -74 Combine like terms: 74 + -74 = 0 0 + -1n = 0 + -74 -1n = 0 + -74 Combine like terms: 0 + -74 = -74 -1n = -74 Divide each side by '-1'. n = 74 Simplifying n = 74Solution
n = {-76, 74}
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