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Simplifying x(x + 2)(x + 3)(x + 4) = 72 Reorder the terms: x(2 + x)(x + 3)(x + 4) = 72 Reorder the terms: x(2 + x)(3 + x)(x + 4) = 72 Reorder the terms: x(2 + x)(3 + x)(4 + x) = 72 Multiply (2 + x) * (3 + x) x(2(3 + x) + x(3 + x))(4 + x) = 72 x((3 * 2 + x * 2) + x(3 + x))(4 + x) = 72 x((6 + 2x) + x(3 + x))(4 + x) = 72 x(6 + 2x + (3 * x + x * x))(4 + x) = 72 x(6 + 2x + (3x + x2))(4 + x) = 72 Combine like terms: 2x + 3x = 5x x(6 + 5x + x2)(4 + x) = 72 Multiply (6 + 5x + x2) * (4 + x) x(6(4 + x) + 5x * (4 + x) + x2(4 + x)) = 72 x((4 * 6 + x * 6) + 5x * (4 + x) + x2(4 + x)) = 72 x((24 + 6x) + 5x * (4 + x) + x2(4 + x)) = 72 x(24 + 6x + (4 * 5x + x * 5x) + x2(4 + x)) = 72 x(24 + 6x + (20x + 5x2) + x2(4 + x)) = 72 x(24 + 6x + 20x + 5x2 + (4 * x2 + x * x2)) = 72 x(24 + 6x + 20x + 5x2 + (4x2 + x3)) = 72 Combine like terms: 6x + 20x = 26x x(24 + 26x + 5x2 + 4x2 + x3) = 72 Combine like terms: 5x2 + 4x2 = 9x2 x(24 + 26x + 9x2 + x3) = 72 (24 * x + 26x * x + 9x2 * x + x3 * x) = 72 (24x + 26x2 + 9x3 + x4) = 72 Solving 24x + 26x2 + 9x3 + x4 = 72 Solving for variable 'x'. Reorder the terms: -72 + 24x + 26x2 + 9x3 + x4 = 72 + -72 Combine like terms: 72 + -72 = 0 -72 + 24x + 26x2 + 9x3 + x4 = 0 The solution to this equation could not be determined.
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