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Simplifying (x + 2)(3x + -2)(x + 1) = 0 Reorder the terms: (2 + x)(3x + -2)(x + 1) = 0 Reorder the terms: (2 + x)(-2 + 3x)(x + 1) = 0 Reorder the terms: (2 + x)(-2 + 3x)(1 + x) = 0 Multiply (2 + x) * (-2 + 3x) (2(-2 + 3x) + x(-2 + 3x))(1 + x) = 0 ((-2 * 2 + 3x * 2) + x(-2 + 3x))(1 + x) = 0 ((-4 + 6x) + x(-2 + 3x))(1 + x) = 0 (-4 + 6x + (-2 * x + 3x * x))(1 + x) = 0 (-4 + 6x + (-2x + 3x2))(1 + x) = 0 Combine like terms: 6x + -2x = 4x (-4 + 4x + 3x2)(1 + x) = 0 Multiply (-4 + 4x + 3x2) * (1 + x) (-4(1 + x) + 4x * (1 + x) + 3x2 * (1 + x)) = 0 ((1 * -4 + x * -4) + 4x * (1 + x) + 3x2 * (1 + x)) = 0 ((-4 + -4x) + 4x * (1 + x) + 3x2 * (1 + x)) = 0 (-4 + -4x + (1 * 4x + x * 4x) + 3x2 * (1 + x)) = 0 (-4 + -4x + (4x + 4x2) + 3x2 * (1 + x)) = 0 (-4 + -4x + 4x + 4x2 + (1 * 3x2 + x * 3x2)) = 0 (-4 + -4x + 4x + 4x2 + (3x2 + 3x3)) = 0 Combine like terms: -4x + 4x = 0 (-4 + 0 + 4x2 + 3x2 + 3x3) = 0 (-4 + 4x2 + 3x2 + 3x3) = 0 Combine like terms: 4x2 + 3x2 = 7x2 (-4 + 7x2 + 3x3) = 0 Solving -4 + 7x2 + 3x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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