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Simplifying 16x(x + 1)(x + 2)(x + 3) = 9 Reorder the terms: 16x(1 + x)(x + 2)(x + 3) = 9 Reorder the terms: 16x(1 + x)(2 + x)(x + 3) = 9 Reorder the terms: 16x(1 + x)(2 + x)(3 + x) = 9 Multiply (1 + x) * (2 + x) 16x(1(2 + x) + x(2 + x))(3 + x) = 9 16x((2 * 1 + x * 1) + x(2 + x))(3 + x) = 9 16x((2 + 1x) + x(2 + x))(3 + x) = 9 16x(2 + 1x + (2 * x + x * x))(3 + x) = 9 16x(2 + 1x + (2x + x2))(3 + x) = 9 Combine like terms: 1x + 2x = 3x 16x(2 + 3x + x2)(3 + x) = 9 Multiply (2 + 3x + x2) * (3 + x) 16x(2(3 + x) + 3x * (3 + x) + x2(3 + x)) = 9 16x((3 * 2 + x * 2) + 3x * (3 + x) + x2(3 + x)) = 9 16x((6 + 2x) + 3x * (3 + x) + x2(3 + x)) = 9 16x(6 + 2x + (3 * 3x + x * 3x) + x2(3 + x)) = 9 16x(6 + 2x + (9x + 3x2) + x2(3 + x)) = 9 16x(6 + 2x + 9x + 3x2 + (3 * x2 + x * x2)) = 9 16x(6 + 2x + 9x + 3x2 + (3x2 + x3)) = 9 Combine like terms: 2x + 9x = 11x 16x(6 + 11x + 3x2 + 3x2 + x3) = 9 Combine like terms: 3x2 + 3x2 = 6x2 16x(6 + 11x + 6x2 + x3) = 9 (6 * 16x + 11x * 16x + 6x2 * 16x + x3 * 16x) = 9 (96x + 176x2 + 96x3 + 16x4) = 9 Solving 96x + 176x2 + 96x3 + 16x4 = 9 Solving for variable 'x'. Reorder the terms: -9 + 96x + 176x2 + 96x3 + 16x4 = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + 96x + 176x2 + 96x3 + 16x4 = 0 The solution to this equation could not be determined.
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