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Simplifying (3n + -7)(n + 4)(n + 5) = 0 Reorder the terms: (-7 + 3n)(n + 4)(n + 5) = 0 Reorder the terms: (-7 + 3n)(4 + n)(n + 5) = 0 Reorder the terms: (-7 + 3n)(4 + n)(5 + n) = 0 Multiply (-7 + 3n) * (4 + n) (-7(4 + n) + 3n * (4 + n))(5 + n) = 0 ((4 * -7 + n * -7) + 3n * (4 + n))(5 + n) = 0 ((-28 + -7n) + 3n * (4 + n))(5 + n) = 0 (-28 + -7n + (4 * 3n + n * 3n))(5 + n) = 0 (-28 + -7n + (12n + 3n2))(5 + n) = 0 Combine like terms: -7n + 12n = 5n (-28 + 5n + 3n2)(5 + n) = 0 Multiply (-28 + 5n + 3n2) * (5 + n) (-28(5 + n) + 5n * (5 + n) + 3n2 * (5 + n)) = 0 ((5 * -28 + n * -28) + 5n * (5 + n) + 3n2 * (5 + n)) = 0 ((-140 + -28n) + 5n * (5 + n) + 3n2 * (5 + n)) = 0 (-140 + -28n + (5 * 5n + n * 5n) + 3n2 * (5 + n)) = 0 (-140 + -28n + (25n + 5n2) + 3n2 * (5 + n)) = 0 (-140 + -28n + 25n + 5n2 + (5 * 3n2 + n * 3n2)) = 0 (-140 + -28n + 25n + 5n2 + (15n2 + 3n3)) = 0 Combine like terms: -28n + 25n = -3n (-140 + -3n + 5n2 + 15n2 + 3n3) = 0 Combine like terms: 5n2 + 15n2 = 20n2 (-140 + -3n + 20n2 + 3n3) = 0 Solving -140 + -3n + 20n2 + 3n3 = 0 Solving for variable 'n'. The solution to this equation could not be determined.
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