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Simplifying x(x + 4)(x + 6)(x + 10) + 144 = 0 Reorder the terms: x(4 + x)(x + 6)(x + 10) + 144 = 0 Reorder the terms: x(4 + x)(6 + x)(x + 10) + 144 = 0 Reorder the terms: x(4 + x)(6 + x)(10 + x) + 144 = 0 Multiply (4 + x) * (6 + x) x(4(6 + x) + x(6 + x))(10 + x) + 144 = 0 x((6 * 4 + x * 4) + x(6 + x))(10 + x) + 144 = 0 x((24 + 4x) + x(6 + x))(10 + x) + 144 = 0 x(24 + 4x + (6 * x + x * x))(10 + x) + 144 = 0 x(24 + 4x + (6x + x2))(10 + x) + 144 = 0 Combine like terms: 4x + 6x = 10x x(24 + 10x + x2)(10 + x) + 144 = 0 Multiply (24 + 10x + x2) * (10 + x) x(24(10 + x) + 10x * (10 + x) + x2(10 + x)) + 144 = 0 x((10 * 24 + x * 24) + 10x * (10 + x) + x2(10 + x)) + 144 = 0 x((240 + 24x) + 10x * (10 + x) + x2(10 + x)) + 144 = 0 x(240 + 24x + (10 * 10x + x * 10x) + x2(10 + x)) + 144 = 0 x(240 + 24x + (100x + 10x2) + x2(10 + x)) + 144 = 0 x(240 + 24x + 100x + 10x2 + (10 * x2 + x * x2)) + 144 = 0 x(240 + 24x + 100x + 10x2 + (10x2 + x3)) + 144 = 0 Combine like terms: 24x + 100x = 124x x(240 + 124x + 10x2 + 10x2 + x3) + 144 = 0 Combine like terms: 10x2 + 10x2 = 20x2 x(240 + 124x + 20x2 + x3) + 144 = 0 (240 * x + 124x * x + 20x2 * x + x3 * x) + 144 = 0 (240x + 124x2 + 20x3 + x4) + 144 = 0 Reorder the terms: 144 + 240x + 124x2 + 20x3 + x4 = 0 Solving 144 + 240x + 124x2 + 20x3 + x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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