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Simplifying 8(n + 9)(n + -9)(n + 12) = 0 Reorder the terms: 8(9 + n)(n + -9)(n + 12) = 0 Reorder the terms: 8(9 + n)(-9 + n)(n + 12) = 0 Reorder the terms: 8(9 + n)(-9 + n)(12 + n) = 0 Multiply (9 + n) * (-9 + n) 8(9(-9 + n) + n(-9 + n))(12 + n) = 0 8((-9 * 9 + n * 9) + n(-9 + n))(12 + n) = 0 8((-81 + 9n) + n(-9 + n))(12 + n) = 0 8(-81 + 9n + (-9 * n + n * n))(12 + n) = 0 8(-81 + 9n + (-9n + n2))(12 + n) = 0 Combine like terms: 9n + -9n = 0 8(-81 + 0 + n2)(12 + n) = 0 8(-81 + n2)(12 + n) = 0 Multiply (-81 + n2) * (12 + n) 8(-81(12 + n) + n2(12 + n)) = 0 8((12 * -81 + n * -81) + n2(12 + n)) = 0 8((-972 + -81n) + n2(12 + n)) = 0 8(-972 + -81n + (12 * n2 + n * n2)) = 0 8(-972 + -81n + (12n2 + n3)) = 0 8(-972 + -81n + 12n2 + n3) = 0 (-972 * 8 + -81n * 8 + 12n2 * 8 + n3 * 8) = 0 (-7776 + -648n + 96n2 + 8n3) = 0 Solving -7776 + -648n + 96n2 + 8n3 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '8'. 8(-972 + -81n + 12n2 + n3) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(-972 + -81n + 12n2 + n3)' equal to zero and attempt to solve: Simplifying -972 + -81n + 12n2 + n3 = 0 Solving -972 + -81n + 12n2 + n3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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