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Simplifying (3x + -2)(x + 2)(x + 3)(x + -2) = 0 Reorder the terms: (-2 + 3x)(x + 2)(x + 3)(x + -2) = 0 Reorder the terms: (-2 + 3x)(2 + x)(x + 3)(x + -2) = 0 Reorder the terms: (-2 + 3x)(2 + x)(3 + x)(x + -2) = 0 Reorder the terms: (-2 + 3x)(2 + x)(3 + x)(-2 + x) = 0 Multiply (-2 + 3x) * (2 + x) (-2(2 + x) + 3x * (2 + x))(3 + x)(-2 + x) = 0 ((2 * -2 + x * -2) + 3x * (2 + x))(3 + x)(-2 + x) = 0 ((-4 + -2x) + 3x * (2 + x))(3 + x)(-2 + x) = 0 (-4 + -2x + (2 * 3x + x * 3x))(3 + x)(-2 + x) = 0 (-4 + -2x + (6x + 3x2))(3 + x)(-2 + x) = 0 Combine like terms: -2x + 6x = 4x (-4 + 4x + 3x2)(3 + x)(-2 + x) = 0 Multiply (-4 + 4x + 3x2) * (3 + x) (-4(3 + x) + 4x * (3 + x) + 3x2 * (3 + x))(-2 + x) = 0 ((3 * -4 + x * -4) + 4x * (3 + x) + 3x2 * (3 + x))(-2 + x) = 0 ((-12 + -4x) + 4x * (3 + x) + 3x2 * (3 + x))(-2 + x) = 0 (-12 + -4x + (3 * 4x + x * 4x) + 3x2 * (3 + x))(-2 + x) = 0 (-12 + -4x + (12x + 4x2) + 3x2 * (3 + x))(-2 + x) = 0 (-12 + -4x + 12x + 4x2 + (3 * 3x2 + x * 3x2))(-2 + x) = 0 (-12 + -4x + 12x + 4x2 + (9x2 + 3x3))(-2 + x) = 0 Combine like terms: -4x + 12x = 8x (-12 + 8x + 4x2 + 9x2 + 3x3)(-2 + x) = 0 Combine like terms: 4x2 + 9x2 = 13x2 (-12 + 8x + 13x2 + 3x3)(-2 + x) = 0 Multiply (-12 + 8x + 13x2 + 3x3) * (-2 + x) (-12(-2 + x) + 8x * (-2 + x) + 13x2 * (-2 + x) + 3x3 * (-2 + x)) = 0 ((-2 * -12 + x * -12) + 8x * (-2 + x) + 13x2 * (-2 + x) + 3x3 * (-2 + x)) = 0 ((24 + -12x) + 8x * (-2 + x) + 13x2 * (-2 + x) + 3x3 * (-2 + x)) = 0 (24 + -12x + (-2 * 8x + x * 8x) + 13x2 * (-2 + x) + 3x3 * (-2 + x)) = 0 (24 + -12x + (-16x + 8x2) + 13x2 * (-2 + x) + 3x3 * (-2 + x)) = 0 (24 + -12x + -16x + 8x2 + (-2 * 13x2 + x * 13x2) + 3x3 * (-2 + x)) = 0 (24 + -12x + -16x + 8x2 + (-26x2 + 13x3) + 3x3 * (-2 + x)) = 0 (24 + -12x + -16x + 8x2 + -26x2 + 13x3 + (-2 * 3x3 + x * 3x3)) = 0 (24 + -12x + -16x + 8x2 + -26x2 + 13x3 + (-6x3 + 3x4)) = 0 Combine like terms: -12x + -16x = -28x (24 + -28x + 8x2 + -26x2 + 13x3 + -6x3 + 3x4) = 0 Combine like terms: 8x2 + -26x2 = -18x2 (24 + -28x + -18x2 + 13x3 + -6x3 + 3x4) = 0 Combine like terms: 13x3 + -6x3 = 7x3 (24 + -28x + -18x2 + 7x3 + 3x4) = 0 Solving 24 + -28x + -18x2 + 7x3 + 3x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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