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Simplifying (x2 + -4x + 6)(2x2 + 8x + -1) = 1 Reorder the terms: (6 + -4x + x2)(2x2 + 8x + -1) = 1 Reorder the terms: (6 + -4x + x2)(-1 + 8x + 2x2) = 1 Multiply (6 + -4x + x2) * (-1 + 8x + 2x2) (6(-1 + 8x + 2x2) + -4x * (-1 + 8x + 2x2) + x2(-1 + 8x + 2x2)) = 1 ((-1 * 6 + 8x * 6 + 2x2 * 6) + -4x * (-1 + 8x + 2x2) + x2(-1 + 8x + 2x2)) = 1 ((-6 + 48x + 12x2) + -4x * (-1 + 8x + 2x2) + x2(-1 + 8x + 2x2)) = 1 (-6 + 48x + 12x2 + (-1 * -4x + 8x * -4x + 2x2 * -4x) + x2(-1 + 8x + 2x2)) = 1 (-6 + 48x + 12x2 + (4x + -32x2 + -8x3) + x2(-1 + 8x + 2x2)) = 1 (-6 + 48x + 12x2 + 4x + -32x2 + -8x3 + (-1 * x2 + 8x * x2 + 2x2 * x2)) = 1 (-6 + 48x + 12x2 + 4x + -32x2 + -8x3 + (-1x2 + 8x3 + 2x4)) = 1 Reorder the terms: (-6 + 48x + 4x + 12x2 + -32x2 + -1x2 + -8x3 + 8x3 + 2x4) = 1 Combine like terms: 48x + 4x = 52x (-6 + 52x + 12x2 + -32x2 + -1x2 + -8x3 + 8x3 + 2x4) = 1 Combine like terms: 12x2 + -32x2 = -20x2 (-6 + 52x + -20x2 + -1x2 + -8x3 + 8x3 + 2x4) = 1 Combine like terms: -20x2 + -1x2 = -21x2 (-6 + 52x + -21x2 + -8x3 + 8x3 + 2x4) = 1 Combine like terms: -8x3 + 8x3 = 0 (-6 + 52x + -21x2 + 0 + 2x4) = 1 (-6 + 52x + -21x2 + 2x4) = 1 Solving -6 + 52x + -21x2 + 2x4 = 1 Solving for variable 'x'. Reorder the terms: -6 + -1 + 52x + -21x2 + 2x4 = 1 + -1 Combine like terms: -6 + -1 = -7 -7 + 52x + -21x2 + 2x4 = 1 + -1 Combine like terms: 1 + -1 = 0 -7 + 52x + -21x2 + 2x4 = 0 The solution to this equation could not be determined.
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