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Simplifying (0.25 + x)(1 + x)(0.75 + x) = 0 Multiply (0.25 + x) * (1 + x) (0.25(1 + x) + x(1 + x))(0.75 + x) = 0 ((1 * 0.25 + x * 0.25) + x(1 + x))(0.75 + x) = 0 ((0.25 + 0.25x) + x(1 + x))(0.75 + x) = 0 (0.25 + 0.25x + (1 * x + x * x))(0.75 + x) = 0 (0.25 + 0.25x + (1x + x2))(0.75 + x) = 0 Combine like terms: 0.25x + 1x = 1.25x (0.25 + 1.25x + x2)(0.75 + x) = 0 Multiply (0.25 + 1.25x + x2) * (0.75 + x) (0.25(0.75 + x) + 1.25x * (0.75 + x) + x2(0.75 + x)) = 0 ((0.75 * 0.25 + x * 0.25) + 1.25x * (0.75 + x) + x2(0.75 + x)) = 0 ((0.1875 + 0.25x) + 1.25x * (0.75 + x) + x2(0.75 + x)) = 0 (0.1875 + 0.25x + (0.75 * 1.25x + x * 1.25x) + x2(0.75 + x)) = 0 (0.1875 + 0.25x + (0.9375x + 1.25x2) + x2(0.75 + x)) = 0 (0.1875 + 0.25x + 0.9375x + 1.25x2 + (0.75 * x2 + x * x2)) = 0 (0.1875 + 0.25x + 0.9375x + 1.25x2 + (0.75x2 + x3)) = 0 Combine like terms: 0.25x + 0.9375x = 1.1875x (0.1875 + 1.1875x + 1.25x2 + 0.75x2 + x3) = 0 Combine like terms: 1.25x2 + 0.75x2 = 2x2 (0.1875 + 1.1875x + 2x2 + x3) = 0 Solving 0.1875 + 1.1875x + 2x2 + x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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