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Simplifying (3x + -5)(x + 6)(4x + 7) = 0 Reorder the terms: (-5 + 3x)(x + 6)(4x + 7) = 0 Reorder the terms: (-5 + 3x)(6 + x)(4x + 7) = 0 Reorder the terms: (-5 + 3x)(6 + x)(7 + 4x) = 0 Multiply (-5 + 3x) * (6 + x) (-5(6 + x) + 3x * (6 + x))(7 + 4x) = 0 ((6 * -5 + x * -5) + 3x * (6 + x))(7 + 4x) = 0 ((-30 + -5x) + 3x * (6 + x))(7 + 4x) = 0 (-30 + -5x + (6 * 3x + x * 3x))(7 + 4x) = 0 (-30 + -5x + (18x + 3x2))(7 + 4x) = 0 Combine like terms: -5x + 18x = 13x (-30 + 13x + 3x2)(7 + 4x) = 0 Multiply (-30 + 13x + 3x2) * (7 + 4x) (-30(7 + 4x) + 13x * (7 + 4x) + 3x2 * (7 + 4x)) = 0 ((7 * -30 + 4x * -30) + 13x * (7 + 4x) + 3x2 * (7 + 4x)) = 0 ((-210 + -120x) + 13x * (7 + 4x) + 3x2 * (7 + 4x)) = 0 (-210 + -120x + (7 * 13x + 4x * 13x) + 3x2 * (7 + 4x)) = 0 (-210 + -120x + (91x + 52x2) + 3x2 * (7 + 4x)) = 0 (-210 + -120x + 91x + 52x2 + (7 * 3x2 + 4x * 3x2)) = 0 (-210 + -120x + 91x + 52x2 + (21x2 + 12x3)) = 0 Combine like terms: -120x + 91x = -29x (-210 + -29x + 52x2 + 21x2 + 12x3) = 0 Combine like terms: 52x2 + 21x2 = 73x2 (-210 + -29x + 73x2 + 12x3) = 0 Solving -210 + -29x + 73x2 + 12x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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