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Simplifying (3 + -1x)(-13 + -1x)(5 + 4i + -1x) = 0 Multiply (3 + -1x) * (-13 + -1x) (3(-13 + -1x) + -1x * (-13 + -1x))(5 + 4i + -1x) = 0 ((-13 * 3 + -1x * 3) + -1x * (-13 + -1x))(5 + 4i + -1x) = 0 ((-39 + -3x) + -1x * (-13 + -1x))(5 + 4i + -1x) = 0 (-39 + -3x + (-13 * -1x + -1x * -1x))(5 + 4i + -1x) = 0 (-39 + -3x + (13x + 1x2))(5 + 4i + -1x) = 0 Combine like terms: -3x + 13x = 10x (-39 + 10x + 1x2)(5 + 4i + -1x) = 0 Multiply (-39 + 10x + 1x2) * (5 + 4i + -1x) (-39(5 + 4i + -1x) + 10x * (5 + 4i + -1x) + 1x2 * (5 + 4i + -1x)) = 0 ((5 * -39 + 4i * -39 + -1x * -39) + 10x * (5 + 4i + -1x) + 1x2 * (5 + 4i + -1x)) = 0 ((-195 + -156i + 39x) + 10x * (5 + 4i + -1x) + 1x2 * (5 + 4i + -1x)) = 0 (-195 + -156i + 39x + (5 * 10x + 4i * 10x + -1x * 10x) + 1x2 * (5 + 4i + -1x)) = 0 Reorder the terms: (-195 + -156i + 39x + (40ix + 50x + -10x2) + 1x2 * (5 + 4i + -1x)) = 0 (-195 + -156i + 39x + (40ix + 50x + -10x2) + 1x2 * (5 + 4i + -1x)) = 0 (-195 + -156i + 39x + 40ix + 50x + -10x2 + (5 * 1x2 + 4i * 1x2 + -1x * 1x2)) = 0 Reorder the terms: (-195 + -156i + 39x + 40ix + 50x + -10x2 + (4ix2 + 5x2 + -1x3)) = 0 (-195 + -156i + 39x + 40ix + 50x + -10x2 + (4ix2 + 5x2 + -1x3)) = 0 Reorder the terms: (-195 + -156i + 40ix + 4ix2 + 39x + 50x + -10x2 + 5x2 + -1x3) = 0 Combine like terms: 39x + 50x = 89x (-195 + -156i + 40ix + 4ix2 + 89x + -10x2 + 5x2 + -1x3) = 0 Combine like terms: -10x2 + 5x2 = -5x2 (-195 + -156i + 40ix + 4ix2 + 89x + -5x2 + -1x3) = 0 Solving -195 + -156i + 40ix + 4ix2 + 89x + -5x2 + -1x3 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '195' to each side of the equation. -195 + -156i + 40ix + 4ix2 + 89x + -5x2 + 195 + -1x3 = 0 + 195 Reorder the terms: -195 + 195 + -156i + 40ix + 4ix2 + 89x + -5x2 + -1x3 = 0 + 195 Combine like terms: -195 + 195 = 0 0 + -156i + 40ix + 4ix2 + 89x + -5x2 + -1x3 = 0 + 195 -156i + 40ix + 4ix2 + 89x + -5x2 + -1x3 = 0 + 195 Combine like terms: 0 + 195 = 195 -156i + 40ix + 4ix2 + 89x + -5x2 + -1x3 = 195 Add '-89x' to each side of the equation. -156i + 40ix + 4ix2 + 89x + -5x2 + -89x + -1x3 = 195 + -89x Reorder the terms: -156i + 40ix + 4ix2 + 89x + -89x + -5x2 + -1x3 = 195 + -89x Combine like terms: 89x + -89x = 0 -156i + 40ix + 4ix2 + 0 + -5x2 + -1x3 = 195 + -89x -156i + 40ix + 4ix2 + -5x2 + -1x3 = 195 + -89x Add '5x2' to each side of the equation. -156i + 40ix + 4ix2 + -5x2 + 5x2 + -1x3 = 195 + -89x + 5x2 Combine like terms: -5x2 + 5x2 = 0 -156i + 40ix + 4ix2 + 0 + -1x3 = 195 + -89x + 5x2 -156i + 40ix + 4ix2 + -1x3 = 195 + -89x + 5x2 Add 'x3' to each side of the equation. -156i + 40ix + 4ix2 + -1x3 + x3 = 195 + -89x + 5x2 + x3 Combine like terms: -1x3 + x3 = 0 -156i + 40ix + 4ix2 + 0 = 195 + -89x + 5x2 + x3 -156i + 40ix + 4ix2 = 195 + -89x + 5x2 + x3 Reorder the terms: -195 + -156i + 40ix + 4ix2 + 89x + -5x2 + -1x3 = 195 + -89x + 5x2 + x3 + -195 + 89x + -5x2 + -1x3 Reorder the terms: -195 + -156i + 40ix + 4ix2 + 89x + -5x2 + -1x3 = 195 + -195 + -89x + 89x + 5x2 + -5x2 + x3 + -1x3 Combine like terms: 195 + -195 = 0 -195 + -156i + 40ix + 4ix2 + 89x + -5x2 + -1x3 = 0 + -89x + 89x + 5x2 + -5x2 + x3 + -1x3 -195 + -156i + 40ix + 4ix2 + 89x + -5x2 + -1x3 = -89x + 89x + 5x2 + -5x2 + x3 + -1x3 Combine like terms: -89x + 89x = 0 -195 + -156i + 40ix + 4ix2 + 89x + -5x2 + -1x3 = 0 + 5x2 + -5x2 + x3 + -1x3 -195 + -156i + 40ix + 4ix2 + 89x + -5x2 + -1x3 = 5x2 + -5x2 + x3 + -1x3 Combine like terms: 5x2 + -5x2 = 0 -195 + -156i + 40ix + 4ix2 + 89x + -5x2 + -1x3 = 0 + x3 + -1x3 -195 + -156i + 40ix + 4ix2 + 89x + -5x2 + -1x3 = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 -195 + -156i + 40ix + 4ix2 + 89x + -5x2 + -1x3 = 0 The solution to this equation could not be determined.
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