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Simplifying (7n + 12)(13n + -16)(6n) = 360 Reorder the terms: (12 + 7n)(13n + -16)(6n) = 360 Reorder the terms: (12 + 7n)(-16 + 13n)(6n) = 360 Remove parenthesis around (6n) (12 + 7n)(-16 + 13n) * 6n = 360 Reorder the terms for easier multiplication: 6n(12 + 7n)(-16 + 13n) = 360 Multiply (12 + 7n) * (-16 + 13n) 6n(12(-16 + 13n) + 7n * (-16 + 13n)) = 360 6n((-16 * 12 + 13n * 12) + 7n * (-16 + 13n)) = 360 6n((-192 + 156n) + 7n * (-16 + 13n)) = 360 6n(-192 + 156n + (-16 * 7n + 13n * 7n)) = 360 6n(-192 + 156n + (-112n + 91n2)) = 360 Combine like terms: 156n + -112n = 44n 6n(-192 + 44n + 91n2) = 360 (-192 * 6n + 44n * 6n + 91n2 * 6n) = 360 (-1152n + 264n2 + 546n3) = 360 Solving -1152n + 264n2 + 546n3 = 360 Solving for variable 'n'. Reorder the terms: -360 + -1152n + 264n2 + 546n3 = 360 + -360 Combine like terms: 360 + -360 = 0 -360 + -1152n + 264n2 + 546n3 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-60 + -192n + 44n2 + 91n3) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-60 + -192n + 44n2 + 91n3)' equal to zero and attempt to solve: Simplifying -60 + -192n + 44n2 + 91n3 = 0 Solving -60 + -192n + 44n2 + 91n3 = 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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