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Simplifying (0.5 + x)(1 + x)(0.25 + x) = 0 Multiply (0.5 + x) * (1 + x) (0.5(1 + x) + x(1 + x))(0.25 + x) = 0 ((1 * 0.5 + x * 0.5) + x(1 + x))(0.25 + x) = 0 ((0.5 + 0.5x) + x(1 + x))(0.25 + x) = 0 (0.5 + 0.5x + (1 * x + x * x))(0.25 + x) = 0 (0.5 + 0.5x + (1x + x2))(0.25 + x) = 0 Combine like terms: 0.5x + 1x = 1.5x (0.5 + 1.5x + x2)(0.25 + x) = 0 Multiply (0.5 + 1.5x + x2) * (0.25 + x) (0.5(0.25 + x) + 1.5x * (0.25 + x) + x2(0.25 + x)) = 0 ((0.25 * 0.5 + x * 0.5) + 1.5x * (0.25 + x) + x2(0.25 + x)) = 0 ((0.125 + 0.5x) + 1.5x * (0.25 + x) + x2(0.25 + x)) = 0 (0.125 + 0.5x + (0.25 * 1.5x + x * 1.5x) + x2(0.25 + x)) = 0 (0.125 + 0.5x + (0.375x + 1.5x2) + x2(0.25 + x)) = 0 (0.125 + 0.5x + 0.375x + 1.5x2 + (0.25 * x2 + x * x2)) = 0 (0.125 + 0.5x + 0.375x + 1.5x2 + (0.25x2 + x3)) = 0 Combine like terms: 0.5x + 0.375x = 0.875x (0.125 + 0.875x + 1.5x2 + 0.25x2 + x3) = 0 Combine like terms: 1.5x2 + 0.25x2 = 1.75x2 (0.125 + 0.875x + 1.75x2 + x3) = 0 Solving 0.125 + 0.875x + 1.75x2 + x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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