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Simplifying (x)(x + 2)(x + 4)(x + 10) = 74 Reorder the terms: x(2 + x)(x + 4)(x + 10) = 74 Reorder the terms: x(2 + x)(4 + x)(x + 10) = 74 Reorder the terms: x(2 + x)(4 + x)(10 + x) = 74 Multiply (2 + x) * (4 + x) x(2(4 + x) + x(4 + x))(10 + x) = 74 x((4 * 2 + x * 2) + x(4 + x))(10 + x) = 74 x((8 + 2x) + x(4 + x))(10 + x) = 74 x(8 + 2x + (4 * x + x * x))(10 + x) = 74 x(8 + 2x + (4x + x2))(10 + x) = 74 Combine like terms: 2x + 4x = 6x x(8 + 6x + x2)(10 + x) = 74 Multiply (8 + 6x + x2) * (10 + x) x(8(10 + x) + 6x * (10 + x) + x2(10 + x)) = 74 x((10 * 8 + x * 8) + 6x * (10 + x) + x2(10 + x)) = 74 x((80 + 8x) + 6x * (10 + x) + x2(10 + x)) = 74 x(80 + 8x + (10 * 6x + x * 6x) + x2(10 + x)) = 74 x(80 + 8x + (60x + 6x2) + x2(10 + x)) = 74 x(80 + 8x + 60x + 6x2 + (10 * x2 + x * x2)) = 74 x(80 + 8x + 60x + 6x2 + (10x2 + x3)) = 74 Combine like terms: 8x + 60x = 68x x(80 + 68x + 6x2 + 10x2 + x3) = 74 Combine like terms: 6x2 + 10x2 = 16x2 x(80 + 68x + 16x2 + x3) = 74 (80 * x + 68x * x + 16x2 * x + x3 * x) = 74 (80x + 68x2 + 16x3 + x4) = 74 Solving 80x + 68x2 + 16x3 + x4 = 74 Solving for variable 'x'. Reorder the terms: -74 + 80x + 68x2 + 16x3 + x4 = 74 + -74 Combine like terms: 74 + -74 = 0 -74 + 80x + 68x2 + 16x3 + x4 = 0 The solution to this equation could not be determined.
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