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Simplifying 18n2 + -48n + -96 = 0 Reorder the terms: -96 + -48n + 18n2 = 0 Solving -96 + -48n + 18n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '6'. 6(-16 + -8n + 3n2) = 0 Factor a trinomial. 6((-4 + -3n)(4 + -1n)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-4 + -3n)' equal to zero and attempt to solve: Simplifying -4 + -3n = 0 Solving -4 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3n = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3n = 0 + 4 -3n = 0 + 4 Combine like terms: 0 + 4 = 4 -3n = 4 Divide each side by '-3'. n = -1.333333333 Simplifying n = -1.333333333Subproblem 2
Set the factor '(4 + -1n)' equal to zero and attempt to solve: Simplifying 4 + -1n = 0 Solving 4 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1n = 0 + -4 -1n = 0 + -4 Combine like terms: 0 + -4 = -4 -1n = -4 Divide each side by '-1'. n = 4 Simplifying n = 4Solution
n = {-1.333333333, 4}
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