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Simplifying 2n2 + 8n + -1344 = 0 Reorder the terms: -1344 + 8n + 2n2 = 0 Solving -1344 + 8n + 2n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '2'. 2(-672 + 4n + n2) = 0 Factor a trinomial. 2((-28 + -1n)(24 + -1n)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-28 + -1n)' equal to zero and attempt to solve: Simplifying -28 + -1n = 0 Solving -28 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -1n = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -1n = 0 + 28 -1n = 0 + 28 Combine like terms: 0 + 28 = 28 -1n = 28 Divide each side by '-1'. n = -28 Simplifying n = -28Subproblem 2
Set the factor '(24 + -1n)' equal to zero and attempt to solve: Simplifying 24 + -1n = 0 Solving 24 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1n = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1n = 0 + -24 -1n = 0 + -24 Combine like terms: 0 + -24 = -24 -1n = -24 Divide each side by '-1'. n = 24 Simplifying n = 24Solution
n = {-28, 24}
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