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Simplifying x(x + 1)(x + 3)(x + 4) = 180 Reorder the terms: x(1 + x)(x + 3)(x + 4) = 180 Reorder the terms: x(1 + x)(3 + x)(x + 4) = 180 Reorder the terms: x(1 + x)(3 + x)(4 + x) = 180 Multiply (1 + x) * (3 + x) x(1(3 + x) + x(3 + x))(4 + x) = 180 x((3 * 1 + x * 1) + x(3 + x))(4 + x) = 180 x((3 + 1x) + x(3 + x))(4 + x) = 180 x(3 + 1x + (3 * x + x * x))(4 + x) = 180 x(3 + 1x + (3x + x2))(4 + x) = 180 Combine like terms: 1x + 3x = 4x x(3 + 4x + x2)(4 + x) = 180 Multiply (3 + 4x + x2) * (4 + x) x(3(4 + x) + 4x * (4 + x) + x2(4 + x)) = 180 x((4 * 3 + x * 3) + 4x * (4 + x) + x2(4 + x)) = 180 x((12 + 3x) + 4x * (4 + x) + x2(4 + x)) = 180 x(12 + 3x + (4 * 4x + x * 4x) + x2(4 + x)) = 180 x(12 + 3x + (16x + 4x2) + x2(4 + x)) = 180 x(12 + 3x + 16x + 4x2 + (4 * x2 + x * x2)) = 180 x(12 + 3x + 16x + 4x2 + (4x2 + x3)) = 180 Combine like terms: 3x + 16x = 19x x(12 + 19x + 4x2 + 4x2 + x3) = 180 Combine like terms: 4x2 + 4x2 = 8x2 x(12 + 19x + 8x2 + x3) = 180 (12 * x + 19x * x + 8x2 * x + x3 * x) = 180 (12x + 19x2 + 8x3 + x4) = 180 Solving 12x + 19x2 + 8x3 + x4 = 180 Solving for variable 'x'. Reorder the terms: -180 + 12x + 19x2 + 8x3 + x4 = 180 + -180 Combine like terms: 180 + -180 = 0 -180 + 12x + 19x2 + 8x3 + x4 = 0 The solution to this equation could not be determined.
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