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Simplifying (18x2 + -2x + 16)(3x2 + -1x + -2) + -1(6x3 + -1x2 + 16x + -1)(9x + -1) + (2x + 2)(6x + -1)(3x2 + -1x + -2) = 0 Reorder the terms: (16 + -2x + 18x2)(3x2 + -1x + -2) + -1(6x3 + -1x2 + 16x + -1)(9x + -1) + (2x + 2)(6x + -1)(3x2 + -1x + -2) = 0 Reorder the terms: (16 + -2x + 18x2)(-2 + -1x + 3x2) + -1(6x3 + -1x2 + 16x + -1)(9x + -1) + (2x + 2)(6x + -1)(3x2 + -1x + -2) = 0 Multiply (16 + -2x + 18x2) * (-2 + -1x + 3x2) (16(-2 + -1x + 3x2) + -2x * (-2 + -1x + 3x2) + 18x2 * (-2 + -1x + 3x2)) + -1(6x3 + -1x2 + 16x + -1)(9x + -1) + (2x + 2)(6x + -1)(3x2 + -1x + -2) = 0 ((-2 * 16 + -1x * 16 + 3x2 * 16) + -2x * (-2 + -1x + 3x2) + 18x2 * (-2 + -1x + 3x2)) + -1(6x3 + -1x2 + 16x + -1)(9x + -1) + (2x + 2)(6x + -1)(3x2 + -1x + -2) = 0 ((-32 + -16x + 48x2) + -2x * (-2 + -1x + 3x2) + 18x2 * (-2 + -1x + 3x2)) + -1(6x3 + -1x2 + 16x + -1)(9x + -1) + (2x + 2)(6x + -1)(3x2 + -1x + -2) = 0 (-32 + -16x + 48x2 + (-2 * -2x + -1x * -2x + 3x2 * -2x) + 18x2 * (-2 + -1x + 3x2)) + -1(6x3 + -1x2 + 16x + -1)(9x + -1) + (2x + 2)(6x + -1)(3x2 + -1x + -2) = 0 (-32 + -16x + 48x2 + (4x + 2x2 + -6x3) + 18x2 * (-2 + -1x + 3x2)) + -1(6x3 + -1x2 + 16x + -1)(9x + -1) + (2x + 2)(6x + -1)(3x2 + -1x + -2) = 0 (-32 + -16x + 48x2 + 4x + 2x2 + -6x3 + (-2 * 18x2 + -1x * 18x2 + 3x2 * 18x2)) + -1(6x3 + -1x2 + 16x + -1)(9x + -1) + (2x + 2)(6x + -1)(3x2 + -1x + -2) = 0 (-32 + -16x + 48x2 + 4x + 2x2 + -6x3 + (-36x2 + -18x3 + 54x4)) + -1(6x3 + -1x2 + 16x + -1)(9x + -1) + (2x + 2)(6x + -1)(3x2 + -1x + -2) = 0 Reorder the terms: (-32 + -16x + 4x + 48x2 + 2x2 + -36x2 + -6x3 + -18x3 + 54x4) + -1(6x3 + -1x2 + 16x + -1)(9x + -1) + (2x + 2)(6x + -1)(3x2 + -1x + -2) = 0 Combine like terms: -16x + 4x = -12x (-32 + -12x + 48x2 + 2x2 + -36x2 + -6x3 + -18x3 + 54x4) + -1(6x3 + -1x2 + 16x + -1)(9x + -1) + (2x + 2)(6x + -1)(3x2 + -1x + -2) = 0 Combine like terms: 48x2 + 2x2 = 50x2 (-32 + -12x + 50x2 + -36x2 + -6x3 + -18x3 + 54x4) + -1(6x3 + -1x2 + 16x + -1)(9x + -1) + (2x + 2)(6x + -1)(3x2 + -1x + -2) = 0 Combine like terms: 50x2 + -36x2 = 14x2 (-32 + -12x + 14x2 + -6x3 + -18x3 + 54x4) + -1(6x3 + -1x2 + 16x + -1)(9x + -1) + (2x + 2)(6x + -1)(3x2 + -1x + -2) = 0 Combine like terms: -6x3 + -18x3 = -24x3 (-32 + -12x + 14x2 + -24x3 + 54x4) + -1(6x3 + -1x2 + 16x + -1)(9x + -1) + (2x + 2)(6x + -1)(3x2 + -1x + -2) = 0 Reorder the terms: -32 + -12x + 14x2 + -24x3 + 54x4 + -1(-1 + 16x + -1x2 + 6x3)(9x + -1) + (2x + 2)(6x + -1)(3x2 + -1x + -2) = 0 Reorder the terms: -32 + -12x + 14x2 + -24x3 + 54x4 + -1(-1 + 16x + -1x2 + 6x3)(-1 + 9x) + (2x + 2)(6x + -1)(3x2 + -1x + -2) = 0 Multiply (-1 + 16x + -1x2 + 6x3) * (-1 + 9x) -32 + -12x + 14x2 + -24x3 + 54x4 + -1(-1(-1 + 9x) + 16x * (-1 + 9x) + -1x2 * (-1 + 9x) + 6x3 * (-1 + 9x)) + (2x + 2)(6x + -1)(3x2 + -1x + -2) = 0 -32 + -12x + 14x2 + -24x3 + 54x4 + -1((-1 * -1 + 9x * -1) + 16x * (-1 + 9x) + -1x2 * (-1 + 9x) + 6x3 * (-1 + 9x)) + (2x + 2)(6x + -1)(3x2 + -1x + -2) = 0 -32 + -12x + 14x2 + -24x3 + 54x4 + -1((1 + -9x) + 16x * (-1 + 9x) + -1x2 * (-1 + 9x) + 6x3 * (-1 + 9x)) + (2x + 2)(6x + -1)(3x2 + -1x + -2) = 0 -32 + -12x + 14x2 + -24x3 + 54x4 + -1(1 + -9x + (-1 * 16x + 9x * 16x) + -1x2 * (-1 + 9x) + 6x3 * (-1 + 9x)) + (2x + 2)(6x + -1)(3x2 + -1x + -2) = 0 -32 + -12x + 14x2 + -24x3 + 54x4 + -1(1 + -9x + (-16x + 144x2) + -1x2 * (-1 + 9x) + 6x3 * (-1 + 9x)) + (2x + 2)(6x + -1)(3x2 + -1x + -2) = 0 -32 + -12x + 14x2 + -24x3 + 54x4 + -1(1 + -9x + -16x + 144x2 + (-1 * -1x2 + 9x * -1x2) + 6x3 * (-1 + 9x)) + (2x + 2)(6x + -1)(3x2 + -1x + -2) = 0 -32 + -12x + 14x2 + -24x3 + 54x4 + -1(1 + -9x + -16x + 144x2 + (1x2 + -9x3) + 6x3 * (-1 + 9x)) + (2x + 2)(6x + -1)(3x2 + -1x + -2) = 0 -32 + -12x + 14x2 + -24x3 + 54x4 + -1(1 + -9x + -16x + 144x2 + 1x2 + -9x3 + (-1 * 6x3 + 9x * 6x3)) + (2x + 2)(6x + -1)(3x2 + -1x + -2) = 0 -32 + -12x + 14x2 + -24x3 + 54x4 + -1(1 + -9x + -16x + 144x2 + 1x2 + -9x3 + (-6x3 + 54x4)) + (2x + 2)(6x + -1)(3x2 + -1x + -2) = 0 Combine like terms: -9x + -16x = -25x -32 + -12x + 14x2 + -24x3 + 54x4 + -1(1 + -25x + 144x2 + 1x2 + -9x3 + -6x3 + 54x4) + (2x + 2)(6x + -1)(3x2 + -1x + -2) = 0 Combine like terms: 144x2 + 1x2 = 145x2 -32 + -12x + 14x2 + -24x3 + 54x4 + -1(1 + -25x + 145x2 + -9x3 + -6x3 + 54x4) + (2x + 2)(6x + -1)(3x2 + -1x + -2) = 0 Combine like terms: -9x3 + -6x3 = -15x3 -32 + -12x + 14x2 + -24x3 + 54x4 + -1(1 + -25x + 145x2 + -15x3 + 54x4) + (2x + 2)(6x + -1)(3x2 + -1x + -2) = 0 -32 + -12x + 14x2 + -24x3 + 54x4 + (1 * -1 + -25x * -1 + 145x2 * -1 + -15x3 * -1 + 54x4 * -1) + (2x + 2)(6x + -1)(3x2 + -1x + -2) = 0 -32 + -12x + 14x2 + -24x3 + 54x4 + (-1 + 25x + -145x2 + 15x3 + -54x4) + (2x + 2)(6x + -1)(3x2 + -1x + -2) = 0 Reorder the terms: -32 + -12x + 14x2 + -24x3 + 54x4 + -1 + 25x + -145x2 + 15x3 + -54x4 + (2 + 2x)(6x + -1)(3x2 + -1x + -2) = 0 Reorder the terms: -32 + -12x + 14x2 + -24x3 + 54x4 + -1 + 25x + -145x2 + 15x3 + -54x4 + (2 + 2x)(-1 + 6x)(3x2 + -1x + -2) = 0 Reorder the terms: -32 + -12x + 14x2 + -24x3 + 54x4 + -1 + 25x + -145x2 + 15x3 + -54x4 + (2 + 2x)(-1 + 6x)(-2 + -1x + 3x2) = 0 Multiply (2 + 2x) * (-1 + 6x) -32 + -12x + 14x2 + -24x3 + 54x4 + -1 + 25x + -145x2 + 15x3 + -54x4 + (2(-1 + 6x) + 2x * (-1 + 6x))(-2 + -1x + 3x2) = 0 -32 + -12x + 14x2 + -24x3 + 54x4 + -1 + 25x + -145x2 + 15x3 + -54x4 + ((-1 * 2 + 6x * 2) + 2x * (-1 + 6x))(-2 + -1x + 3x2) = 0 -32 + -12x + 14x2 + -24x3 + 54x4 + -1 + 25x + -145x2 + 15x3 + -54x4 + ((-2 + 12x) + 2x * (-1 + 6x))(-2 + -1x + 3x2) = 0 -32 + -12x + 14x2 + -24x3 + 54x4 + -1 + 25x + -145x2 + 15x3 + -54x4 + (-2 + 12x + (-1 * 2x + 6x * 2x))(-2 + -1x + 3x2) = 0 -32 + -12x + 14x2 + -24x3 + 54x4 + -1 + 25x + -145x2 + 15x3 + -54x4 + (-2 + 12x + (-2x + 12x2))(-2 + -1x + 3x2) = 0 Combine like terms: 12x + -2x = 10x -32 + -12x + 14x2 + -24x3 + 54x4 + -1 + 25x + -145x2 + 15x3 + -54x4 + (-2 + 10x + 12x2)(-2 + -1x + 3x2) = 0 Multiply (-2 + 10x + 12x2) * (-2 + -1x + 3x2) -32 + -12x + 14x2 + -24x3 + 54x4 + -1 + 25x + -145x2 + 15x3 + -54x4 + (-2(-2 + -1x + 3x2) + 10x * (-2 + -1x + 3x2) + 12x2 * (-2 + -1x + 3x2)) = 0 -32 + -12x + 14x2 + -24x3 + 54x4 + -1 + 25x + -145x2 + 15x3 + -54x4 + ((-2 * -2 + -1x * -2 + 3x2 * -2) + 10x * (-2 + -1x + 3x2) + 12x2 * (-2 + -1x + 3x2)) = 0 -32 + -12x + 14x2 + -24x3 + 54x4 + -1 + 25x + -145x2 + 15x3 + -54x4 + ((4 + 2x + -6x2) + 10x * (-2 + -1x + 3x2) + 12x2 * (-2 + -1x + 3x2)) = 0 -32 + -12x + 14x2 + -24x3 + 54x4 + -1 + 25x + -145x2 + 15x3 + -54x4 + (4 + 2x + -6x2 + (-2 * 10x + -1x * 10x + 3x2 * 10x) + 12x2 * (-2 + -1x + 3x2)) = 0 -32 + -12x + 14x2 + -24x3 + 54x4 + -1 + 25x + -145x2 + 15x3 + -54x4 + (4 + 2x + -6x2 + (-20x + -10x2 + 30x3) + 12x2 * (-2 + -1x + 3x2)) = 0 -32 + -12x + 14x2 + -24x3 + 54x4 + -1 + 25x + -145x2 + 15x3 + -54x4 + (4 + 2x + -6x2 + -20x + -10x2 + 30x3 + (-2 * 12x2 + -1x * 12x2 + 3x2 * 12x2)) = 0 -32 + -12x + 14x2 + -24x3 + 54x4 + -1 + 25x + -145x2 + 15x3 + -54x4 + (4 + 2x + -6x2 + -20x + -10x2 + 30x3 + (-24x2 + -12x3 + 36x4)) = 0 Reorder the terms: -32 + -12x + 14x2 + -24x3 + 54x4 + -1 + 25x + -145x2 + 15x3 + -54x4 + (4 + 2x + -20x + -6x2 + -10x2 + -24x2 + 30x3 + -12x3 + 36x4) = 0 Combine like terms: 2x + -20x = -18x -32 + -12x + 14x2 + -24x3 + 54x4 + -1 + 25x + -145x2 + 15x3 + -54x4 + (4 + -18x + -6x2 + -10x2 + -24x2 + 30x3 + -12x3 + 36x4) = 0 Combine like terms: -6x2 + -10x2 = -16x2 -32 + -12x + 14x2 + -24x3 + 54x4 + -1 + 25x + -145x2 + 15x3 + -54x4 + (4 + -18x + -16x2 + -24x2 + 30x3 + -12x3 + 36x4) = 0 Combine like terms: -16x2 + -24x2 = -40x2 -32 + -12x + 14x2 + -24x3 + 54x4 + -1 + 25x + -145x2 + 15x3 + -54x4 + (4 + -18x + -40x2 + 30x3 + -12x3 + 36x4) = 0 Combine like terms: 30x3 + -12x3 = 18x3 -32 + -12x + 14x2 + -24x3 + 54x4 + -1 + 25x + -145x2 + 15x3 + -54x4 + (4 + -18x + -40x2 + 18x3 + 36x4) = 0 Reorder the terms: -32 + -1 + 4 + -12x + 25x + -18x + 14x2 + -145x2 + -40x2 + -24x3 + 15x3 + 18x3 + 54x4 + -54x4 + 36x4 = 0 Combine like terms: -32 + -1 = -33 -33 + 4 + -12x + 25x + -18x + 14x2 + -145x2 + -40x2 + -24x3 + 15x3 + 18x3 + 54x4 + -54x4 + 36x4 = 0 Combine like terms: -33 + 4 = -29 -29 + -12x + 25x + -18x + 14x2 + -145x2 + -40x2 + -24x3 + 15x3 + 18x3 + 54x4 + -54x4 + 36x4 = 0 Combine like terms: -12x + 25x = 13x -29 + 13x + -18x + 14x2 + -145x2 + -40x2 + -24x3 + 15x3 + 18x3 + 54x4 + -54x4 + 36x4 = 0 Combine like terms: 13x + -18x = -5x -29 + -5x + 14x2 + -145x2 + -40x2 + -24x3 + 15x3 + 18x3 + 54x4 + -54x4 + 36x4 = 0 Combine like terms: 14x2 + -145x2 = -131x2 -29 + -5x + -131x2 + -40x2 + -24x3 + 15x3 + 18x3 + 54x4 + -54x4 + 36x4 = 0 Combine like terms: -131x2 + -40x2 = -171x2 -29 + -5x + -171x2 + -24x3 + 15x3 + 18x3 + 54x4 + -54x4 + 36x4 = 0 Combine like terms: -24x3 + 15x3 = -9x3 -29 + -5x + -171x2 + -9x3 + 18x3 + 54x4 + -54x4 + 36x4 = 0 Combine like terms: -9x3 + 18x3 = 9x3 -29 + -5x + -171x2 + 9x3 + 54x4 + -54x4 + 36x4 = 0 Combine like terms: 54x4 + -54x4 = 0 -29 + -5x + -171x2 + 9x3 + 0 + 36x4 = 0 -29 + -5x + -171x2 + 9x3 + 36x4 = 0 Solving -29 + -5x + -171x2 + 9x3 + 36x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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