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Simplifying (4x + -1)(2x + -1)(3x + -2) = 0 Reorder the terms: (-1 + 4x)(2x + -1)(3x + -2) = 0 Reorder the terms: (-1 + 4x)(-1 + 2x)(3x + -2) = 0 Reorder the terms: (-1 + 4x)(-1 + 2x)(-2 + 3x) = 0 Multiply (-1 + 4x) * (-1 + 2x) (-1(-1 + 2x) + 4x * (-1 + 2x))(-2 + 3x) = 0 ((-1 * -1 + 2x * -1) + 4x * (-1 + 2x))(-2 + 3x) = 0 ((1 + -2x) + 4x * (-1 + 2x))(-2 + 3x) = 0 (1 + -2x + (-1 * 4x + 2x * 4x))(-2 + 3x) = 0 (1 + -2x + (-4x + 8x2))(-2 + 3x) = 0 Combine like terms: -2x + -4x = -6x (1 + -6x + 8x2)(-2 + 3x) = 0 Multiply (1 + -6x + 8x2) * (-2 + 3x) (1(-2 + 3x) + -6x * (-2 + 3x) + 8x2 * (-2 + 3x)) = 0 ((-2 * 1 + 3x * 1) + -6x * (-2 + 3x) + 8x2 * (-2 + 3x)) = 0 ((-2 + 3x) + -6x * (-2 + 3x) + 8x2 * (-2 + 3x)) = 0 (-2 + 3x + (-2 * -6x + 3x * -6x) + 8x2 * (-2 + 3x)) = 0 (-2 + 3x + (12x + -18x2) + 8x2 * (-2 + 3x)) = 0 (-2 + 3x + 12x + -18x2 + (-2 * 8x2 + 3x * 8x2)) = 0 (-2 + 3x + 12x + -18x2 + (-16x2 + 24x3)) = 0 Combine like terms: 3x + 12x = 15x (-2 + 15x + -18x2 + -16x2 + 24x3) = 0 Combine like terms: -18x2 + -16x2 = -34x2 (-2 + 15x + -34x2 + 24x3) = 0 Solving -2 + 15x + -34x2 + 24x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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