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Simplifying x(x + 2)(x + 3)(x + 5) = 72 Reorder the terms: x(2 + x)(x + 3)(x + 5) = 72 Reorder the terms: x(2 + x)(3 + x)(x + 5) = 72 Reorder the terms: x(2 + x)(3 + x)(5 + x) = 72 Multiply (2 + x) * (3 + x) x(2(3 + x) + x(3 + x))(5 + x) = 72 x((3 * 2 + x * 2) + x(3 + x))(5 + x) = 72 x((6 + 2x) + x(3 + x))(5 + x) = 72 x(6 + 2x + (3 * x + x * x))(5 + x) = 72 x(6 + 2x + (3x + x2))(5 + x) = 72 Combine like terms: 2x + 3x = 5x x(6 + 5x + x2)(5 + x) = 72 Multiply (6 + 5x + x2) * (5 + x) x(6(5 + x) + 5x * (5 + x) + x2(5 + x)) = 72 x((5 * 6 + x * 6) + 5x * (5 + x) + x2(5 + x)) = 72 x((30 + 6x) + 5x * (5 + x) + x2(5 + x)) = 72 x(30 + 6x + (5 * 5x + x * 5x) + x2(5 + x)) = 72 x(30 + 6x + (25x + 5x2) + x2(5 + x)) = 72 x(30 + 6x + 25x + 5x2 + (5 * x2 + x * x2)) = 72 x(30 + 6x + 25x + 5x2 + (5x2 + x3)) = 72 Combine like terms: 6x + 25x = 31x x(30 + 31x + 5x2 + 5x2 + x3) = 72 Combine like terms: 5x2 + 5x2 = 10x2 x(30 + 31x + 10x2 + x3) = 72 (30 * x + 31x * x + 10x2 * x + x3 * x) = 72 (30x + 31x2 + 10x3 + x4) = 72 Solving 30x + 31x2 + 10x3 + x4 = 72 Solving for variable 'x'. Reorder the terms: -72 + 30x + 31x2 + 10x3 + x4 = 72 + -72 Combine like terms: 72 + -72 = 0 -72 + 30x + 31x2 + 10x3 + x4 = 0 The solution to this equation could not be determined.
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