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Simplifying (x + -1)(x2 + -4) + 2(x + -1)(x + 2) + -1(x + -1) = 0 Reorder the terms: (-1 + x)(x2 + -4) + 2(x + -1)(x + 2) + -1(x + -1) = 0 Reorder the terms: (-1 + x)(-4 + x2) + 2(x + -1)(x + 2) + -1(x + -1) = 0 Multiply (-1 + x) * (-4 + x2) (-1(-4 + x2) + x(-4 + x2)) + 2(x + -1)(x + 2) + -1(x + -1) = 0 ((-4 * -1 + x2 * -1) + x(-4 + x2)) + 2(x + -1)(x + 2) + -1(x + -1) = 0 ((4 + -1x2) + x(-4 + x2)) + 2(x + -1)(x + 2) + -1(x + -1) = 0 (4 + -1x2 + (-4 * x + x2 * x)) + 2(x + -1)(x + 2) + -1(x + -1) = 0 (4 + -1x2 + (-4x + x3)) + 2(x + -1)(x + 2) + -1(x + -1) = 0 Reorder the terms: (4 + -4x + -1x2 + x3) + 2(x + -1)(x + 2) + -1(x + -1) = 0 (4 + -4x + -1x2 + x3) + 2(x + -1)(x + 2) + -1(x + -1) = 0 Reorder the terms: 4 + -4x + -1x2 + x3 + 2(-1 + x)(x + 2) + -1(x + -1) = 0 Reorder the terms: 4 + -4x + -1x2 + x3 + 2(-1 + x)(2 + x) + -1(x + -1) = 0 Multiply (-1 + x) * (2 + x) 4 + -4x + -1x2 + x3 + 2(-1(2 + x) + x(2 + x)) + -1(x + -1) = 0 4 + -4x + -1x2 + x3 + 2((2 * -1 + x * -1) + x(2 + x)) + -1(x + -1) = 0 4 + -4x + -1x2 + x3 + 2((-2 + -1x) + x(2 + x)) + -1(x + -1) = 0 4 + -4x + -1x2 + x3 + 2(-2 + -1x + (2 * x + x * x)) + -1(x + -1) = 0 4 + -4x + -1x2 + x3 + 2(-2 + -1x + (2x + x2)) + -1(x + -1) = 0 Combine like terms: -1x + 2x = 1x 4 + -4x + -1x2 + x3 + 2(-2 + 1x + x2) + -1(x + -1) = 0 4 + -4x + -1x2 + x3 + (-2 * 2 + 1x * 2 + x2 * 2) + -1(x + -1) = 0 4 + -4x + -1x2 + x3 + (-4 + 2x + 2x2) + -1(x + -1) = 0 Reorder the terms: 4 + -4x + -1x2 + x3 + -4 + 2x + 2x2 + -1(-1 + x) = 0 4 + -4x + -1x2 + x3 + -4 + 2x + 2x2 + (-1 * -1 + x * -1) = 0 4 + -4x + -1x2 + x3 + -4 + 2x + 2x2 + (1 + -1x) = 0 Reorder the terms: 4 + -4 + 1 + -4x + 2x + -1x + -1x2 + 2x2 + x3 = 0 Combine like terms: 4 + -4 = 0 0 + 1 + -4x + 2x + -1x + -1x2 + 2x2 + x3 = 0 1 + -4x + 2x + -1x + -1x2 + 2x2 + x3 = 0 Combine like terms: -4x + 2x = -2x 1 + -2x + -1x + -1x2 + 2x2 + x3 = 0 Combine like terms: -2x + -1x = -3x 1 + -3x + -1x2 + 2x2 + x3 = 0 Combine like terms: -1x2 + 2x2 = 1x2 1 + -3x + 1x2 + x3 = 0 Solving 1 + -3x + 1x2 + x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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