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Simplifying 8(x2 + 7x + 6) + x(2 + 4x)(8 + x) + -1(1 + x)(x2 + 16x + 64) + -1(6 + x)(x2 + 16x + 64) + -2(12x2 + 16x + 4) = 0 Reorder the terms: 8(6 + 7x + x2) + x(2 + 4x)(8 + x) + -1(1 + x)(x2 + 16x + 64) + -1(6 + x)(x2 + 16x + 64) + -2(12x2 + 16x + 4) = 0 (6 * 8 + 7x * 8 + x2 * 8) + x(2 + 4x)(8 + x) + -1(1 + x)(x2 + 16x + 64) + -1(6 + x)(x2 + 16x + 64) + -2(12x2 + 16x + 4) = 0 (48 + 56x + 8x2) + x(2 + 4x)(8 + x) + -1(1 + x)(x2 + 16x + 64) + -1(6 + x)(x2 + 16x + 64) + -2(12x2 + 16x + 4) = 0 Multiply (2 + 4x) * (8 + x) 48 + 56x + 8x2 + x(2(8 + x) + 4x * (8 + x)) + -1(1 + x)(x2 + 16x + 64) + -1(6 + x)(x2 + 16x + 64) + -2(12x2 + 16x + 4) = 0 48 + 56x + 8x2 + x((8 * 2 + x * 2) + 4x * (8 + x)) + -1(1 + x)(x2 + 16x + 64) + -1(6 + x)(x2 + 16x + 64) + -2(12x2 + 16x + 4) = 0 48 + 56x + 8x2 + x((16 + 2x) + 4x * (8 + x)) + -1(1 + x)(x2 + 16x + 64) + -1(6 + x)(x2 + 16x + 64) + -2(12x2 + 16x + 4) = 0 48 + 56x + 8x2 + x(16 + 2x + (8 * 4x + x * 4x)) + -1(1 + x)(x2 + 16x + 64) + -1(6 + x)(x2 + 16x + 64) + -2(12x2 + 16x + 4) = 0 48 + 56x + 8x2 + x(16 + 2x + (32x + 4x2)) + -1(1 + x)(x2 + 16x + 64) + -1(6 + x)(x2 + 16x + 64) + -2(12x2 + 16x + 4) = 0 Combine like terms: 2x + 32x = 34x 48 + 56x + 8x2 + x(16 + 34x + 4x2) + -1(1 + x)(x2 + 16x + 64) + -1(6 + x)(x2 + 16x + 64) + -2(12x2 + 16x + 4) = 0 48 + 56x + 8x2 + (16 * x + 34x * x + 4x2 * x) + -1(1 + x)(x2 + 16x + 64) + -1(6 + x)(x2 + 16x + 64) + -2(12x2 + 16x + 4) = 0 48 + 56x + 8x2 + (16x + 34x2 + 4x3) + -1(1 + x)(x2 + 16x + 64) + -1(6 + x)(x2 + 16x + 64) + -2(12x2 + 16x + 4) = 0 Reorder the terms: 48 + 56x + 8x2 + 16x + 34x2 + 4x3 + -1(1 + x)(64 + 16x + x2) + -1(6 + x)(x2 + 16x + 64) + -2(12x2 + 16x + 4) = 0 Multiply (1 + x) * (64 + 16x + x2) 48 + 56x + 8x2 + 16x + 34x2 + 4x3 + -1(1(64 + 16x + x2) + x(64 + 16x + x2)) + -1(6 + x)(x2 + 16x + 64) + -2(12x2 + 16x + 4) = 0 48 + 56x + 8x2 + 16x + 34x2 + 4x3 + -1((64 * 1 + 16x * 1 + x2 * 1) + x(64 + 16x + x2)) + -1(6 + x)(x2 + 16x + 64) + -2(12x2 + 16x + 4) = 0 48 + 56x + 8x2 + 16x + 34x2 + 4x3 + -1((64 + 16x + 1x2) + x(64 + 16x + x2)) + -1(6 + x)(x2 + 16x + 64) + -2(12x2 + 16x + 4) = 0 48 + 56x + 8x2 + 16x + 34x2 + 4x3 + -1(64 + 16x + 1x2 + (64 * x + 16x * x + x2 * x)) + -1(6 + x)(x2 + 16x + 64) + -2(12x2 + 16x + 4) = 0 48 + 56x + 8x2 + 16x + 34x2 + 4x3 + -1(64 + 16x + 1x2 + (64x + 16x2 + x3)) + -1(6 + x)(x2 + 16x + 64) + -2(12x2 + 16x + 4) = 0 Reorder the terms: 48 + 56x + 8x2 + 16x + 34x2 + 4x3 + -1(64 + 16x + 64x + 1x2 + 16x2 + x3) + -1(6 + x)(x2 + 16x + 64) + -2(12x2 + 16x + 4) = 0 Combine like terms: 16x + 64x = 80x 48 + 56x + 8x2 + 16x + 34x2 + 4x3 + -1(64 + 80x + 1x2 + 16x2 + x3) + -1(6 + x)(x2 + 16x + 64) + -2(12x2 + 16x + 4) = 0 Combine like terms: 1x2 + 16x2 = 17x2 48 + 56x + 8x2 + 16x + 34x2 + 4x3 + -1(64 + 80x + 17x2 + x3) + -1(6 + x)(x2 + 16x + 64) + -2(12x2 + 16x + 4) = 0 48 + 56x + 8x2 + 16x + 34x2 + 4x3 + (64 * -1 + 80x * -1 + 17x2 * -1 + x3 * -1) + -1(6 + x)(x2 + 16x + 64) + -2(12x2 + 16x + 4) = 0 48 + 56x + 8x2 + 16x + 34x2 + 4x3 + (-64 + -80x + -17x2 + -1x3) + -1(6 + x)(x2 + 16x + 64) + -2(12x2 + 16x + 4) = 0 Reorder the terms: 48 + 56x + 8x2 + 16x + 34x2 + 4x3 + -64 + -80x + -17x2 + -1x3 + -1(6 + x)(64 + 16x + x2) + -2(12x2 + 16x + 4) = 0 Multiply (6 + x) * (64 + 16x + x2) 48 + 56x + 8x2 + 16x + 34x2 + 4x3 + -64 + -80x + -17x2 + -1x3 + -1(6(64 + 16x + x2) + x(64 + 16x + x2)) + -2(12x2 + 16x + 4) = 0 48 + 56x + 8x2 + 16x + 34x2 + 4x3 + -64 + -80x + -17x2 + -1x3 + -1((64 * 6 + 16x * 6 + x2 * 6) + x(64 + 16x + x2)) + -2(12x2 + 16x + 4) = 0 48 + 56x + 8x2 + 16x + 34x2 + 4x3 + -64 + -80x + -17x2 + -1x3 + -1((384 + 96x + 6x2) + x(64 + 16x + x2)) + -2(12x2 + 16x + 4) = 0 48 + 56x + 8x2 + 16x + 34x2 + 4x3 + -64 + -80x + -17x2 + -1x3 + -1(384 + 96x + 6x2 + (64 * x + 16x * x + x2 * x)) + -2(12x2 + 16x + 4) = 0 48 + 56x + 8x2 + 16x + 34x2 + 4x3 + -64 + -80x + -17x2 + -1x3 + -1(384 + 96x + 6x2 + (64x + 16x2 + x3)) + -2(12x2 + 16x + 4) = 0 Reorder the terms: 48 + 56x + 8x2 + 16x + 34x2 + 4x3 + -64 + -80x + -17x2 + -1x3 + -1(384 + 96x + 64x + 6x2 + 16x2 + x3) + -2(12x2 + 16x + 4) = 0 Combine like terms: 96x + 64x = 160x 48 + 56x + 8x2 + 16x + 34x2 + 4x3 + -64 + -80x + -17x2 + -1x3 + -1(384 + 160x + 6x2 + 16x2 + x3) + -2(12x2 + 16x + 4) = 0 Combine like terms: 6x2 + 16x2 = 22x2 48 + 56x + 8x2 + 16x + 34x2 + 4x3 + -64 + -80x + -17x2 + -1x3 + -1(384 + 160x + 22x2 + x3) + -2(12x2 + 16x + 4) = 0 48 + 56x + 8x2 + 16x + 34x2 + 4x3 + -64 + -80x + -17x2 + -1x3 + (384 * -1 + 160x * -1 + 22x2 * -1 + x3 * -1) + -2(12x2 + 16x + 4) = 0 48 + 56x + 8x2 + 16x + 34x2 + 4x3 + -64 + -80x + -17x2 + -1x3 + (-384 + -160x + -22x2 + -1x3) + -2(12x2 + 16x + 4) = 0 Reorder the terms: 48 + 56x + 8x2 + 16x + 34x2 + 4x3 + -64 + -80x + -17x2 + -1x3 + -384 + -160x + -22x2 + -1x3 + -2(4 + 16x + 12x2) = 0 48 + 56x + 8x2 + 16x + 34x2 + 4x3 + -64 + -80x + -17x2 + -1x3 + -384 + -160x + -22x2 + -1x3 + (4 * -2 + 16x * -2 + 12x2 * -2) = 0 48 + 56x + 8x2 + 16x + 34x2 + 4x3 + -64 + -80x + -17x2 + -1x3 + -384 + -160x + -22x2 + -1x3 + (-8 + -32x + -24x2) = 0 Reorder the terms: 48 + -64 + -384 + -8 + 56x + 16x + -80x + -160x + -32x + 8x2 + 34x2 + -17x2 + -22x2 + -24x2 + 4x3 + -1x3 + -1x3 = 0 Combine like terms: 48 + -64 = -16 -16 + -384 + -8 + 56x + 16x + -80x + -160x + -32x + 8x2 + 34x2 + -17x2 + -22x2 + -24x2 + 4x3 + -1x3 + -1x3 = 0 Combine like terms: -16 + -384 = -400 -400 + -8 + 56x + 16x + -80x + -160x + -32x + 8x2 + 34x2 + -17x2 + -22x2 + -24x2 + 4x3 + -1x3 + -1x3 = 0 Combine like terms: -400 + -8 = -408 -408 + 56x + 16x + -80x + -160x + -32x + 8x2 + 34x2 + -17x2 + -22x2 + -24x2 + 4x3 + -1x3 + -1x3 = 0 Combine like terms: 56x + 16x = 72x -408 + 72x + -80x + -160x + -32x + 8x2 + 34x2 + -17x2 + -22x2 + -24x2 + 4x3 + -1x3 + -1x3 = 0 Combine like terms: 72x + -80x = -8x -408 + -8x + -160x + -32x + 8x2 + 34x2 + -17x2 + -22x2 + -24x2 + 4x3 + -1x3 + -1x3 = 0 Combine like terms: -8x + -160x = -168x -408 + -168x + -32x + 8x2 + 34x2 + -17x2 + -22x2 + -24x2 + 4x3 + -1x3 + -1x3 = 0 Combine like terms: -168x + -32x = -200x -408 + -200x + 8x2 + 34x2 + -17x2 + -22x2 + -24x2 + 4x3 + -1x3 + -1x3 = 0 Combine like terms: 8x2 + 34x2 = 42x2 -408 + -200x + 42x2 + -17x2 + -22x2 + -24x2 + 4x3 + -1x3 + -1x3 = 0 Combine like terms: 42x2 + -17x2 = 25x2 -408 + -200x + 25x2 + -22x2 + -24x2 + 4x3 + -1x3 + -1x3 = 0 Combine like terms: 25x2 + -22x2 = 3x2 -408 + -200x + 3x2 + -24x2 + 4x3 + -1x3 + -1x3 = 0 Combine like terms: 3x2 + -24x2 = -21x2 -408 + -200x + -21x2 + 4x3 + -1x3 + -1x3 = 0 Combine like terms: 4x3 + -1x3 = 3x3 -408 + -200x + -21x2 + 3x3 + -1x3 = 0 Combine like terms: 3x3 + -1x3 = 2x3 -408 + -200x + -21x2 + 2x3 = 0 Solving -408 + -200x + -21x2 + 2x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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