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Simplifying (x + -1)(x + -3)(x + 2)(x + 4) + 24 = 0 Reorder the terms: (-1 + x)(x + -3)(x + 2)(x + 4) + 24 = 0 Reorder the terms: (-1 + x)(-3 + x)(x + 2)(x + 4) + 24 = 0 Reorder the terms: (-1 + x)(-3 + x)(2 + x)(x + 4) + 24 = 0 Reorder the terms: (-1 + x)(-3 + x)(2 + x)(4 + x) + 24 = 0 Multiply (-1 + x) * (-3 + x) (-1(-3 + x) + x(-3 + x))(2 + x)(4 + x) + 24 = 0 ((-3 * -1 + x * -1) + x(-3 + x))(2 + x)(4 + x) + 24 = 0 ((3 + -1x) + x(-3 + x))(2 + x)(4 + x) + 24 = 0 (3 + -1x + (-3 * x + x * x))(2 + x)(4 + x) + 24 = 0 (3 + -1x + (-3x + x2))(2 + x)(4 + x) + 24 = 0 Combine like terms: -1x + -3x = -4x (3 + -4x + x2)(2 + x)(4 + x) + 24 = 0 Multiply (3 + -4x + x2) * (2 + x) (3(2 + x) + -4x * (2 + x) + x2(2 + x))(4 + x) + 24 = 0 ((2 * 3 + x * 3) + -4x * (2 + x) + x2(2 + x))(4 + x) + 24 = 0 ((6 + 3x) + -4x * (2 + x) + x2(2 + x))(4 + x) + 24 = 0 (6 + 3x + (2 * -4x + x * -4x) + x2(2 + x))(4 + x) + 24 = 0 (6 + 3x + (-8x + -4x2) + x2(2 + x))(4 + x) + 24 = 0 (6 + 3x + -8x + -4x2 + (2 * x2 + x * x2))(4 + x) + 24 = 0 (6 + 3x + -8x + -4x2 + (2x2 + x3))(4 + x) + 24 = 0 Combine like terms: 3x + -8x = -5x (6 + -5x + -4x2 + 2x2 + x3)(4 + x) + 24 = 0 Combine like terms: -4x2 + 2x2 = -2x2 (6 + -5x + -2x2 + x3)(4 + x) + 24 = 0 Multiply (6 + -5x + -2x2 + x3) * (4 + x) (6(4 + x) + -5x * (4 + x) + -2x2 * (4 + x) + x3(4 + x)) + 24 = 0 ((4 * 6 + x * 6) + -5x * (4 + x) + -2x2 * (4 + x) + x3(4 + x)) + 24 = 0 ((24 + 6x) + -5x * (4 + x) + -2x2 * (4 + x) + x3(4 + x)) + 24 = 0 (24 + 6x + (4 * -5x + x * -5x) + -2x2 * (4 + x) + x3(4 + x)) + 24 = 0 (24 + 6x + (-20x + -5x2) + -2x2 * (4 + x) + x3(4 + x)) + 24 = 0 (24 + 6x + -20x + -5x2 + (4 * -2x2 + x * -2x2) + x3(4 + x)) + 24 = 0 (24 + 6x + -20x + -5x2 + (-8x2 + -2x3) + x3(4 + x)) + 24 = 0 (24 + 6x + -20x + -5x2 + -8x2 + -2x3 + (4 * x3 + x * x3)) + 24 = 0 (24 + 6x + -20x + -5x2 + -8x2 + -2x3 + (4x3 + x4)) + 24 = 0 Combine like terms: 6x + -20x = -14x (24 + -14x + -5x2 + -8x2 + -2x3 + 4x3 + x4) + 24 = 0 Combine like terms: -5x2 + -8x2 = -13x2 (24 + -14x + -13x2 + -2x3 + 4x3 + x4) + 24 = 0 Combine like terms: -2x3 + 4x3 = 2x3 (24 + -14x + -13x2 + 2x3 + x4) + 24 = 0 Reorder the terms: 24 + 24 + -14x + -13x2 + 2x3 + x4 = 0 Combine like terms: 24 + 24 = 48 48 + -14x + -13x2 + 2x3 + x4 = 0 Solving 48 + -14x + -13x2 + 2x3 + x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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