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