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Simplifying 2(x + 1)(1 + -1.5x)(1 + 0.001x) = 0 Reorder the terms: 2(1 + x)(1 + -1.5x)(1 + 0.001x) = 0 Multiply (1 + x) * (1 + -1.5x) 2(1(1 + -1.5x) + x(1 + -1.5x))(1 + 0.001x) = 0 2((1 * 1 + -1.5x * 1) + x(1 + -1.5x))(1 + 0.001x) = 0 2((1 + -1.5x) + x(1 + -1.5x))(1 + 0.001x) = 0 2(1 + -1.5x + (1 * x + -1.5x * x))(1 + 0.001x) = 0 2(1 + -1.5x + (1x + -1.5x2))(1 + 0.001x) = 0 Combine like terms: -1.5x + 1x = -0.5x 2(1 + -0.5x + -1.5x2)(1 + 0.001x) = 0 Multiply (1 + -0.5x + -1.5x2) * (1 + 0.001x) 2(1(1 + 0.001x) + -0.5x * (1 + 0.001x) + -1.5x2 * (1 + 0.001x)) = 0 2((1 * 1 + 0.001x * 1) + -0.5x * (1 + 0.001x) + -1.5x2 * (1 + 0.001x)) = 0 2((1 + 0.001x) + -0.5x * (1 + 0.001x) + -1.5x2 * (1 + 0.001x)) = 0 2(1 + 0.001x + (1 * -0.5x + 0.001x * -0.5x) + -1.5x2 * (1 + 0.001x)) = 0 2(1 + 0.001x + (-0.5x + -0.0005x2) + -1.5x2 * (1 + 0.001x)) = 0 2(1 + 0.001x + -0.5x + -0.0005x2 + (1 * -1.5x2 + 0.001x * -1.5x2)) = 0 2(1 + 0.001x + -0.5x + -0.0005x2 + (-1.5x2 + -0.0015x3)) = 0 Combine like terms: 0.001x + -0.5x = -0.499x 2(1 + -0.499x + -0.0005x2 + -1.5x2 + -0.0015x3) = 0 Combine like terms: -0.0005x2 + -1.5x2 = -1.5005x2 2(1 + -0.499x + -1.5005x2 + -0.0015x3) = 0 (1 * 2 + -0.499x * 2 + -1.5005x2 * 2 + -0.0015x3 * 2) = 0 (2 + -0.998x + -3.001x2 + -0.003x3) = 0 Solving 2 + -0.998x + -3.001x2 + -0.003x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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