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Simplifying (x2 + -6x + 9)(8x3 + 12x2 + 6x + 1) + (x3 + -9x2 + 27x + -27)(4x2 + 4x + 1) = 0 Reorder the terms: (9 + -6x + x2)(8x3 + 12x2 + 6x + 1) + (x3 + -9x2 + 27x + -27)(4x2 + 4x + 1) = 0 Reorder the terms: (9 + -6x + x2)(1 + 6x + 12x2 + 8x3) + (x3 + -9x2 + 27x + -27)(4x2 + 4x + 1) = 0 Multiply (9 + -6x + x2) * (1 + 6x + 12x2 + 8x3) (9(1 + 6x + 12x2 + 8x3) + -6x * (1 + 6x + 12x2 + 8x3) + x2(1 + 6x + 12x2 + 8x3)) + (x3 + -9x2 + 27x + -27)(4x2 + 4x + 1) = 0 ((1 * 9 + 6x * 9 + 12x2 * 9 + 8x3 * 9) + -6x * (1 + 6x + 12x2 + 8x3) + x2(1 + 6x + 12x2 + 8x3)) + (x3 + -9x2 + 27x + -27)(4x2 + 4x + 1) = 0 ((9 + 54x + 108x2 + 72x3) + -6x * (1 + 6x + 12x2 + 8x3) + x2(1 + 6x + 12x2 + 8x3)) + (x3 + -9x2 + 27x + -27)(4x2 + 4x + 1) = 0 (9 + 54x + 108x2 + 72x3 + (1 * -6x + 6x * -6x + 12x2 * -6x + 8x3 * -6x) + x2(1 + 6x + 12x2 + 8x3)) + (x3 + -9x2 + 27x + -27)(4x2 + 4x + 1) = 0 (9 + 54x + 108x2 + 72x3 + (-6x + -36x2 + -72x3 + -48x4) + x2(1 + 6x + 12x2 + 8x3)) + (x3 + -9x2 + 27x + -27)(4x2 + 4x + 1) = 0 (9 + 54x + 108x2 + 72x3 + -6x + -36x2 + -72x3 + -48x4 + (1 * x2 + 6x * x2 + 12x2 * x2 + 8x3 * x2)) + (x3 + -9x2 + 27x + -27)(4x2 + 4x + 1) = 0 (9 + 54x + 108x2 + 72x3 + -6x + -36x2 + -72x3 + -48x4 + (1x2 + 6x3 + 12x4 + 8x5)) + (x3 + -9x2 + 27x + -27)(4x2 + 4x + 1) = 0 Reorder the terms: (9 + 54x + -6x + 108x2 + -36x2 + 1x2 + 72x3 + -72x3 + 6x3 + -48x4 + 12x4 + 8x5) + (x3 + -9x2 + 27x + -27)(4x2 + 4x + 1) = 0 Combine like terms: 54x + -6x = 48x (9 + 48x + 108x2 + -36x2 + 1x2 + 72x3 + -72x3 + 6x3 + -48x4 + 12x4 + 8x5) + (x3 + -9x2 + 27x + -27)(4x2 + 4x + 1) = 0 Combine like terms: 108x2 + -36x2 = 72x2 (9 + 48x + 72x2 + 1x2 + 72x3 + -72x3 + 6x3 + -48x4 + 12x4 + 8x5) + (x3 + -9x2 + 27x + -27)(4x2 + 4x + 1) = 0 Combine like terms: 72x2 + 1x2 = 73x2 (9 + 48x + 73x2 + 72x3 + -72x3 + 6x3 + -48x4 + 12x4 + 8x5) + (x3 + -9x2 + 27x + -27)(4x2 + 4x + 1) = 0 Combine like terms: 72x3 + -72x3 = 0 (9 + 48x + 73x2 + 0 + 6x3 + -48x4 + 12x4 + 8x5) + (x3 + -9x2 + 27x + -27)(4x2 + 4x + 1) = 0 (9 + 48x + 73x2 + 6x3 + -48x4 + 12x4 + 8x5) + (x3 + -9x2 + 27x + -27)(4x2 + 4x + 1) = 0 Combine like terms: -48x4 + 12x4 = -36x4 (9 + 48x + 73x2 + 6x3 + -36x4 + 8x5) + (x3 + -9x2 + 27x + -27)(4x2 + 4x + 1) = 0 Reorder the terms: 9 + 48x + 73x2 + 6x3 + -36x4 + 8x5 + (-27 + 27x + -9x2 + x3)(4x2 + 4x + 1) = 0 Reorder the terms: 9 + 48x + 73x2 + 6x3 + -36x4 + 8x5 + (-27 + 27x + -9x2 + x3)(1 + 4x + 4x2) = 0 Multiply (-27 + 27x + -9x2 + x3) * (1 + 4x + 4x2) 9 + 48x + 73x2 + 6x3 + -36x4 + 8x5 + (-27(1 + 4x + 4x2) + 27x * (1 + 4x + 4x2) + -9x2 * (1 + 4x + 4x2) + x3(1 + 4x + 4x2)) = 0 9 + 48x + 73x2 + 6x3 + -36x4 + 8x5 + ((1 * -27 + 4x * -27 + 4x2 * -27) + 27x * (1 + 4x + 4x2) + -9x2 * (1 + 4x + 4x2) + x3(1 + 4x + 4x2)) = 0 9 + 48x + 73x2 + 6x3 + -36x4 + 8x5 + ((-27 + -108x + -108x2) + 27x * (1 + 4x + 4x2) + -9x2 * (1 + 4x + 4x2) + x3(1 + 4x + 4x2)) = 0 9 + 48x + 73x2 + 6x3 + -36x4 + 8x5 + (-27 + -108x + -108x2 + (1 * 27x + 4x * 27x + 4x2 * 27x) + -9x2 * (1 + 4x + 4x2) + x3(1 + 4x + 4x2)) = 0 9 + 48x + 73x2 + 6x3 + -36x4 + 8x5 + (-27 + -108x + -108x2 + (27x + 108x2 + 108x3) + -9x2 * (1 + 4x + 4x2) + x3(1 + 4x + 4x2)) = 0 9 + 48x + 73x2 + 6x3 + -36x4 + 8x5 + (-27 + -108x + -108x2 + 27x + 108x2 + 108x3 + (1 * -9x2 + 4x * -9x2 + 4x2 * -9x2) + x3(1 + 4x + 4x2)) = 0 9 + 48x + 73x2 + 6x3 + -36x4 + 8x5 + (-27 + -108x + -108x2 + 27x + 108x2 + 108x3 + (-9x2 + -36x3 + -36x4) + x3(1 + 4x + 4x2)) = 0 9 + 48x + 73x2 + 6x3 + -36x4 + 8x5 + (-27 + -108x + -108x2 + 27x + 108x2 + 108x3 + -9x2 + -36x3 + -36x4 + (1 * x3 + 4x * x3 + 4x2 * x3)) = 0 9 + 48x + 73x2 + 6x3 + -36x4 + 8x5 + (-27 + -108x + -108x2 + 27x + 108x2 + 108x3 + -9x2 + -36x3 + -36x4 + (1x3 + 4x4 + 4x5)) = 0 Reorder the terms: 9 + 48x + 73x2 + 6x3 + -36x4 + 8x5 + (-27 + -108x + 27x + -108x2 + 108x2 + -9x2 + 108x3 + -36x3 + 1x3 + -36x4 + 4x4 + 4x5) = 0 Combine like terms: -108x + 27x = -81x 9 + 48x + 73x2 + 6x3 + -36x4 + 8x5 + (-27 + -81x + -108x2 + 108x2 + -9x2 + 108x3 + -36x3 + 1x3 + -36x4 + 4x4 + 4x5) = 0 Combine like terms: -108x2 + 108x2 = 0 9 + 48x + 73x2 + 6x3 + -36x4 + 8x5 + (-27 + -81x + 0 + -9x2 + 108x3 + -36x3 + 1x3 + -36x4 + 4x4 + 4x5) = 0 9 + 48x + 73x2 + 6x3 + -36x4 + 8x5 + (-27 + -81x + -9x2 + 108x3 + -36x3 + 1x3 + -36x4 + 4x4 + 4x5) = 0 Combine like terms: 108x3 + -36x3 = 72x3 9 + 48x + 73x2 + 6x3 + -36x4 + 8x5 + (-27 + -81x + -9x2 + 72x3 + 1x3 + -36x4 + 4x4 + 4x5) = 0 Combine like terms: 72x3 + 1x3 = 73x3 9 + 48x + 73x2 + 6x3 + -36x4 + 8x5 + (-27 + -81x + -9x2 + 73x3 + -36x4 + 4x4 + 4x5) = 0 Combine like terms: -36x4 + 4x4 = -32x4 9 + 48x + 73x2 + 6x3 + -36x4 + 8x5 + (-27 + -81x + -9x2 + 73x3 + -32x4 + 4x5) = 0 Reorder the terms: 9 + -27 + 48x + -81x + 73x2 + -9x2 + 6x3 + 73x3 + -36x4 + -32x4 + 8x5 + 4x5 = 0 Combine like terms: 9 + -27 = -18 -18 + 48x + -81x + 73x2 + -9x2 + 6x3 + 73x3 + -36x4 + -32x4 + 8x5 + 4x5 = 0 Combine like terms: 48x + -81x = -33x -18 + -33x + 73x2 + -9x2 + 6x3 + 73x3 + -36x4 + -32x4 + 8x5 + 4x5 = 0 Combine like terms: 73x2 + -9x2 = 64x2 -18 + -33x + 64x2 + 6x3 + 73x3 + -36x4 + -32x4 + 8x5 + 4x5 = 0 Combine like terms: 6x3 + 73x3 = 79x3 -18 + -33x + 64x2 + 79x3 + -36x4 + -32x4 + 8x5 + 4x5 = 0 Combine like terms: -36x4 + -32x4 = -68x4 -18 + -33x + 64x2 + 79x3 + -68x4 + 8x5 + 4x5 = 0 Combine like terms: 8x5 + 4x5 = 12x5 -18 + -33x + 64x2 + 79x3 + -68x4 + 12x5 = 0 Solving -18 + -33x + 64x2 + 79x3 + -68x4 + 12x5 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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