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Simplifying (x + 6)(x + 1)(x + 3)(x + -2) + 56 = 0 Reorder the terms: (6 + x)(x + 1)(x + 3)(x + -2) + 56 = 0 Reorder the terms: (6 + x)(1 + x)(x + 3)(x + -2) + 56 = 0 Reorder the terms: (6 + x)(1 + x)(3 + x)(x + -2) + 56 = 0 Reorder the terms: (6 + x)(1 + x)(3 + x)(-2 + x) + 56 = 0 Multiply (6 + x) * (1 + x) (6(1 + x) + x(1 + x))(3 + x)(-2 + x) + 56 = 0 ((1 * 6 + x * 6) + x(1 + x))(3 + x)(-2 + x) + 56 = 0 ((6 + 6x) + x(1 + x))(3 + x)(-2 + x) + 56 = 0 (6 + 6x + (1 * x + x * x))(3 + x)(-2 + x) + 56 = 0 (6 + 6x + (1x + x2))(3 + x)(-2 + x) + 56 = 0 Combine like terms: 6x + 1x = 7x (6 + 7x + x2)(3 + x)(-2 + x) + 56 = 0 Multiply (6 + 7x + x2) * (3 + x) (6(3 + x) + 7x * (3 + x) + x2(3 + x))(-2 + x) + 56 = 0 ((3 * 6 + x * 6) + 7x * (3 + x) + x2(3 + x))(-2 + x) + 56 = 0 ((18 + 6x) + 7x * (3 + x) + x2(3 + x))(-2 + x) + 56 = 0 (18 + 6x + (3 * 7x + x * 7x) + x2(3 + x))(-2 + x) + 56 = 0 (18 + 6x + (21x + 7x2) + x2(3 + x))(-2 + x) + 56 = 0 (18 + 6x + 21x + 7x2 + (3 * x2 + x * x2))(-2 + x) + 56 = 0 (18 + 6x + 21x + 7x2 + (3x2 + x3))(-2 + x) + 56 = 0 Combine like terms: 6x + 21x = 27x (18 + 27x + 7x2 + 3x2 + x3)(-2 + x) + 56 = 0 Combine like terms: 7x2 + 3x2 = 10x2 (18 + 27x + 10x2 + x3)(-2 + x) + 56 = 0 Multiply (18 + 27x + 10x2 + x3) * (-2 + x) (18(-2 + x) + 27x * (-2 + x) + 10x2 * (-2 + x) + x3(-2 + x)) + 56 = 0 ((-2 * 18 + x * 18) + 27x * (-2 + x) + 10x2 * (-2 + x) + x3(-2 + x)) + 56 = 0 ((-36 + 18x) + 27x * (-2 + x) + 10x2 * (-2 + x) + x3(-2 + x)) + 56 = 0 (-36 + 18x + (-2 * 27x + x * 27x) + 10x2 * (-2 + x) + x3(-2 + x)) + 56 = 0 (-36 + 18x + (-54x + 27x2) + 10x2 * (-2 + x) + x3(-2 + x)) + 56 = 0 (-36 + 18x + -54x + 27x2 + (-2 * 10x2 + x * 10x2) + x3(-2 + x)) + 56 = 0 (-36 + 18x + -54x + 27x2 + (-20x2 + 10x3) + x3(-2 + x)) + 56 = 0 (-36 + 18x + -54x + 27x2 + -20x2 + 10x3 + (-2 * x3 + x * x3)) + 56 = 0 (-36 + 18x + -54x + 27x2 + -20x2 + 10x3 + (-2x3 + x4)) + 56 = 0 Combine like terms: 18x + -54x = -36x (-36 + -36x + 27x2 + -20x2 + 10x3 + -2x3 + x4) + 56 = 0 Combine like terms: 27x2 + -20x2 = 7x2 (-36 + -36x + 7x2 + 10x3 + -2x3 + x4) + 56 = 0 Combine like terms: 10x3 + -2x3 = 8x3 (-36 + -36x + 7x2 + 8x3 + x4) + 56 = 0 Reorder the terms: -36 + 56 + -36x + 7x2 + 8x3 + x4 = 0 Combine like terms: -36 + 56 = 20 20 + -36x + 7x2 + 8x3 + x4 = 0 Solving 20 + -36x + 7x2 + 8x3 + x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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