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Simplifying (x + -2)(x + 3)(x + 5)(x + 4) = 0 Reorder the terms: (-2 + x)(x + 3)(x + 5)(x + 4) = 0 Reorder the terms: (-2 + x)(3 + x)(x + 5)(x + 4) = 0 Reorder the terms: (-2 + x)(3 + x)(5 + x)(x + 4) = 0 Reorder the terms: (-2 + x)(3 + x)(5 + x)(4 + x) = 0 Multiply (-2 + x) * (3 + x) (-2(3 + x) + x(3 + x))(5 + x)(4 + x) = 0 ((3 * -2 + x * -2) + x(3 + x))(5 + x)(4 + x) = 0 ((-6 + -2x) + x(3 + x))(5 + x)(4 + x) = 0 (-6 + -2x + (3 * x + x * x))(5 + x)(4 + x) = 0 (-6 + -2x + (3x + x2))(5 + x)(4 + x) = 0 Combine like terms: -2x + 3x = 1x (-6 + 1x + x2)(5 + x)(4 + x) = 0 Multiply (-6 + 1x + x2) * (5 + x) (-6(5 + x) + 1x * (5 + x) + x2(5 + x))(4 + x) = 0 ((5 * -6 + x * -6) + 1x * (5 + x) + x2(5 + x))(4 + x) = 0 ((-30 + -6x) + 1x * (5 + x) + x2(5 + x))(4 + x) = 0 (-30 + -6x + (5 * 1x + x * 1x) + x2(5 + x))(4 + x) = 0 (-30 + -6x + (5x + 1x2) + x2(5 + x))(4 + x) = 0 (-30 + -6x + 5x + 1x2 + (5 * x2 + x * x2))(4 + x) = 0 (-30 + -6x + 5x + 1x2 + (5x2 + x3))(4 + x) = 0 Combine like terms: -6x + 5x = -1x (-30 + -1x + 1x2 + 5x2 + x3)(4 + x) = 0 Combine like terms: 1x2 + 5x2 = 6x2 (-30 + -1x + 6x2 + x3)(4 + x) = 0 Multiply (-30 + -1x + 6x2 + x3) * (4 + x) (-30(4 + x) + -1x * (4 + x) + 6x2 * (4 + x) + x3(4 + x)) = 0 ((4 * -30 + x * -30) + -1x * (4 + x) + 6x2 * (4 + x) + x3(4 + x)) = 0 ((-120 + -30x) + -1x * (4 + x) + 6x2 * (4 + x) + x3(4 + x)) = 0 (-120 + -30x + (4 * -1x + x * -1x) + 6x2 * (4 + x) + x3(4 + x)) = 0 (-120 + -30x + (-4x + -1x2) + 6x2 * (4 + x) + x3(4 + x)) = 0 (-120 + -30x + -4x + -1x2 + (4 * 6x2 + x * 6x2) + x3(4 + x)) = 0 (-120 + -30x + -4x + -1x2 + (24x2 + 6x3) + x3(4 + x)) = 0 (-120 + -30x + -4x + -1x2 + 24x2 + 6x3 + (4 * x3 + x * x3)) = 0 (-120 + -30x + -4x + -1x2 + 24x2 + 6x3 + (4x3 + x4)) = 0 Combine like terms: -30x + -4x = -34x (-120 + -34x + -1x2 + 24x2 + 6x3 + 4x3 + x4) = 0 Combine like terms: -1x2 + 24x2 = 23x2 (-120 + -34x + 23x2 + 6x3 + 4x3 + x4) = 0 Combine like terms: 6x3 + 4x3 = 10x3 (-120 + -34x + 23x2 + 10x3 + x4) = 0 Solving -120 + -34x + 23x2 + 10x3 + x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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