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Simplifying (x + 2)(x + -3)(x + 1)(x + 6) + 96 = 0 Reorder the terms: (2 + x)(x + -3)(x + 1)(x + 6) + 96 = 0 Reorder the terms: (2 + x)(-3 + x)(x + 1)(x + 6) + 96 = 0 Reorder the terms: (2 + x)(-3 + x)(1 + x)(x + 6) + 96 = 0 Reorder the terms: (2 + x)(-3 + x)(1 + x)(6 + x) + 96 = 0 Multiply (2 + x) * (-3 + x) (2(-3 + x) + x(-3 + x))(1 + x)(6 + x) + 96 = 0 ((-3 * 2 + x * 2) + x(-3 + x))(1 + x)(6 + x) + 96 = 0 ((-6 + 2x) + x(-3 + x))(1 + x)(6 + x) + 96 = 0 (-6 + 2x + (-3 * x + x * x))(1 + x)(6 + x) + 96 = 0 (-6 + 2x + (-3x + x2))(1 + x)(6 + x) + 96 = 0 Combine like terms: 2x + -3x = -1x (-6 + -1x + x2)(1 + x)(6 + x) + 96 = 0 Multiply (-6 + -1x + x2) * (1 + x) (-6(1 + x) + -1x * (1 + x) + x2(1 + x))(6 + x) + 96 = 0 ((1 * -6 + x * -6) + -1x * (1 + x) + x2(1 + x))(6 + x) + 96 = 0 ((-6 + -6x) + -1x * (1 + x) + x2(1 + x))(6 + x) + 96 = 0 (-6 + -6x + (1 * -1x + x * -1x) + x2(1 + x))(6 + x) + 96 = 0 (-6 + -6x + (-1x + -1x2) + x2(1 + x))(6 + x) + 96 = 0 (-6 + -6x + -1x + -1x2 + (1 * x2 + x * x2))(6 + x) + 96 = 0 (-6 + -6x + -1x + -1x2 + (1x2 + x3))(6 + x) + 96 = 0 Combine like terms: -6x + -1x = -7x (-6 + -7x + -1x2 + 1x2 + x3)(6 + x) + 96 = 0 Combine like terms: -1x2 + 1x2 = 0 (-6 + -7x + 0 + x3)(6 + x) + 96 = 0 (-6 + -7x + x3)(6 + x) + 96 = 0 Multiply (-6 + -7x + x3) * (6 + x) (-6(6 + x) + -7x * (6 + x) + x3(6 + x)) + 96 = 0 ((6 * -6 + x * -6) + -7x * (6 + x) + x3(6 + x)) + 96 = 0 ((-36 + -6x) + -7x * (6 + x) + x3(6 + x)) + 96 = 0 (-36 + -6x + (6 * -7x + x * -7x) + x3(6 + x)) + 96 = 0 (-36 + -6x + (-42x + -7x2) + x3(6 + x)) + 96 = 0 (-36 + -6x + -42x + -7x2 + (6 * x3 + x * x3)) + 96 = 0 (-36 + -6x + -42x + -7x2 + (6x3 + x4)) + 96 = 0 Combine like terms: -6x + -42x = -48x (-36 + -48x + -7x2 + 6x3 + x4) + 96 = 0 Reorder the terms: -36 + 96 + -48x + -7x2 + 6x3 + x4 = 0 Combine like terms: -36 + 96 = 60 60 + -48x + -7x2 + 6x3 + x4 = 0 Solving 60 + -48x + -7x2 + 6x3 + x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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