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Simplifying (x + -4)(x + 14)(x + -5 + -8i)(x + -5 + 8i) = y Reorder the terms: (-4 + x)(x + 14)(x + -5 + -8i)(x + -5 + 8i) = y Reorder the terms: (-4 + x)(14 + x)(x + -5 + -8i)(x + -5 + 8i) = y Reorder the terms: (-4 + x)(14 + x)(-5 + -8i + x)(x + -5 + 8i) = y Reorder the terms: (-4 + x)(14 + x)(-5 + -8i + x)(-5 + 8i + x) = y Multiply (-4 + x) * (14 + x) (-4(14 + x) + x(14 + x))(-5 + -8i + x)(-5 + 8i + x) = y ((14 * -4 + x * -4) + x(14 + x))(-5 + -8i + x)(-5 + 8i + x) = y ((-56 + -4x) + x(14 + x))(-5 + -8i + x)(-5 + 8i + x) = y (-56 + -4x + (14 * x + x * x))(-5 + -8i + x)(-5 + 8i + x) = y (-56 + -4x + (14x + x2))(-5 + -8i + x)(-5 + 8i + x) = y Combine like terms: -4x + 14x = 10x (-56 + 10x + x2)(-5 + -8i + x)(-5 + 8i + x) = y Multiply (-56 + 10x + x2) * (-5 + -8i + x) (-56(-5 + -8i + x) + 10x * (-5 + -8i + x) + x2(-5 + -8i + x))(-5 + 8i + x) = y ((-5 * -56 + -8i * -56 + x * -56) + 10x * (-5 + -8i + x) + x2(-5 + -8i + x))(-5 + 8i + x) = y ((280 + 448i + -56x) + 10x * (-5 + -8i + x) + x2(-5 + -8i + x))(-5 + 8i + x) = y (280 + 448i + -56x + (-5 * 10x + -8i * 10x + x * 10x) + x2(-5 + -8i + x))(-5 + 8i + x) = y Reorder the terms: (280 + 448i + -56x + (-80ix + -50x + 10x2) + x2(-5 + -8i + x))(-5 + 8i + x) = y (280 + 448i + -56x + (-80ix + -50x + 10x2) + x2(-5 + -8i + x))(-5 + 8i + x) = y (280 + 448i + -56x + -80ix + -50x + 10x2 + (-5 * x2 + -8i * x2 + x * x2))(-5 + 8i + x) = y Reorder the terms: (280 + 448i + -56x + -80ix + -50x + 10x2 + (-8ix2 + -5x2 + x3))(-5 + 8i + x) = y (280 + 448i + -56x + -80ix + -50x + 10x2 + (-8ix2 + -5x2 + x3))(-5 + 8i + x) = y Reorder the terms: (280 + 448i + -80ix + -8ix2 + -56x + -50x + 10x2 + -5x2 + x3)(-5 + 8i + x) = y Combine like terms: -56x + -50x = -106x (280 + 448i + -80ix + -8ix2 + -106x + 10x2 + -5x2 + x3)(-5 + 8i + x) = y Combine like terms: 10x2 + -5x2 = 5x2 (280 + 448i + -80ix + -8ix2 + -106x + 5x2 + x3)(-5 + 8i + x) = y Multiply (280 + 448i + -80ix + -8ix2 + -106x + 5x2 + x3) * (-5 + 8i + x) (280(-5 + 8i + x) + 448i * (-5 + 8i + x) + -80ix * (-5 + 8i + x) + -8ix2 * (-5 + 8i + x) + -106x * (-5 + 8i + x) + 5x2 * (-5 + 8i + x) + x3(-5 + 8i + x)) = y ((-5 * 280 + 8i * 280 + x * 280) + 448i * (-5 + 8i + x) + -80ix * (-5 + 8i + x) + -8ix2 * (-5 + 8i + x) + -106x * (-5 + 8i + x) + 5x2 * (-5 + 8i + x) + x3(-5 + 8i + x)) = y ((-1400 + 2240i + 280x) + 448i * (-5 + 8i + x) + -80ix * (-5 + 8i + x) + -8ix2 * (-5 + 8i + x) + -106x * (-5 + 8i + x) + 5x2 * (-5 + 8i + x) + x3(-5 + 8i + x)) = y (-1400 + 2240i + 280x + (-5 * 448i + 8i * 448i + x * 448i) + -80ix * (-5 + 8i + x) + -8ix2 * (-5 + 8i + x) + -106x * (-5 + 8i + x) + 5x2 * (-5 + 8i + x) + x3(-5 + 8i + x)) = y Reorder the terms: (-1400 + 2240i + 280x + (-2240i + 448ix + 3584i2) + -80ix * (-5 + 8i + x) + -8ix2 * (-5 + 8i + x) + -106x * (-5 + 8i + x) + 5x2 * (-5 + 8i + x) + x3(-5 + 8i + x)) = y (-1400 + 2240i + 280x + (-2240i + 448ix + 3584i2) + -80ix * (-5 + 8i + x) + -8ix2 * (-5 + 8i + x) + -106x * (-5 + 8i + x) + 5x2 * (-5 + 8i + x) + x3(-5 + 8i + x)) = y (-1400 + 2240i + 280x + -2240i + 448ix + 3584i2 + (-5 * -80ix + 8i * -80ix + x * -80ix) + -8ix2 * (-5 + 8i + x) + -106x * (-5 + 8i + x) + 5x2 * (-5 + 8i + x) + x3(-5 + 8i + x)) = y Reorder the terms: (-1400 + 2240i + 280x + -2240i + 448ix + 3584i2 + (400ix + -80ix2 + -640i2x) + -8ix2 * (-5 + 8i + x) + -106x * (-5 + 8i + x) + 5x2 * (-5 + 8i + x) + x3(-5 + 8i + x)) = y (-1400 + 2240i + 280x + -2240i + 448ix + 3584i2 + (400ix + -80ix2 + -640i2x) + -8ix2 * (-5 + 8i + x) + -106x * (-5 + 8i + x) + 5x2 * (-5 + 8i + x) + x3(-5 + 8i + x)) = y (-1400 + 2240i + 280x + -2240i + 448ix + 3584i2 + 400ix + -80ix2 + -640i2x + (-5 * -8ix2 + 8i * -8ix2 + x * -8ix2) + -106x * (-5 + 8i + x) + 5x2 * (-5 + 8i + x) + x3(-5 + 8i + x)) = y Reorder the terms: (-1400 + 2240i + 280x + -2240i + 448ix + 3584i2 + 400ix + -80ix2 + -640i2x + (40ix2 + -8ix3 + -64i2x2) + -106x * (-5 + 8i + x) + 5x2 * (-5 + 8i + x) + x3(-5 + 8i + x)) = y (-1400 + 2240i + 280x + -2240i + 448ix + 3584i2 + 400ix + -80ix2 + -640i2x + (40ix2 + -8ix3 + -64i2x2) + -106x * (-5 + 8i + x) + 5x2 * (-5 + 8i + x) + x3(-5 + 8i + x)) = y (-1400 + 2240i + 280x + -2240i + 448ix + 3584i2 + 400ix + -80ix2 + -640i2x + 40ix2 + -8ix3 + -64i2x2 + (-5 * -106x + 8i * -106x + x * -106x) + 5x2 * (-5 + 8i + x) + x3(-5 + 8i + x)) = y Reorder the terms: (-1400 + 2240i + 280x + -2240i + 448ix + 3584i2 + 400ix + -80ix2 + -640i2x + 40ix2 + -8ix3 + -64i2x2 + (-848ix + 530x + -106x2) + 5x2 * (-5 + 8i + x) + x3(-5 + 8i + x)) = y (-1400 + 2240i + 280x + -2240i + 448ix + 3584i2 + 400ix + -80ix2 + -640i2x + 40ix2 + -8ix3 + -64i2x2 + (-848ix + 530x + -106x2) + 5x2 * (-5 + 8i + x) + x3(-5 + 8i + x)) = y (-1400 + 2240i + 280x + -2240i + 448ix + 3584i2 + 400ix + -80ix2 + -640i2x + 40ix2 + -8ix3 + -64i2x2 + -848ix + 530x + -106x2 + (-5 * 5x2 + 8i * 5x2 + x * 5x2) + x3(-5 + 8i + x)) = y Reorder the terms: (-1400 + 2240i + 280x + -2240i + 448ix + 3584i2 + 400ix + -80ix2 + -640i2x + 40ix2 + -8ix3 + -64i2x2 + -848ix + 530x + -106x2 + (40ix2 + -25x2 + 5x3) + x3(-5 + 8i + x)) = y (-1400 + 2240i + 280x + -2240i + 448ix + 3584i2 + 400ix + -80ix2 + -640i2x + 40ix2 + -8ix3 + -64i2x2 + -848ix + 530x + -106x2 + (40ix2 + -25x2 + 5x3) + x3(-5 + 8i + x)) = y (-1400 + 2240i + 280x + -2240i + 448ix + 3584i2 + 400ix + -80ix2 + -640i2x + 40ix2 + -8ix3 + -64i2x2 + -848ix + 530x + -106x2 + 40ix2 + -25x2 + 5x3 + (-5 * x3 + 8i * x3 + x * x3)) = y Reorder the terms: (-1400 + 2240i + 280x + -2240i + 448ix + 3584i2 + 400ix + -80ix2 + -640i2x + 40ix2 + -8ix3 + -64i2x2 + -848ix + 530x + -106x2 + 40ix2 + -25x2 + 5x3 + (8ix3 + -5x3 + x4)) = y (-1400 + 2240i + 280x + -2240i + 448ix + 3584i2 + 400ix + -80ix2 + -640i2x + 40ix2 + -8ix3 + -64i2x2 + -848ix + 530x + -106x2 + 40ix2 + -25x2 + 5x3 + (8ix3 + -5x3 + x4)) = y Reorder the terms: (-1400 + 2240i + -2240i + 448ix + 400ix + -848ix + -80ix2 + 40ix2 + 40ix2 + -8ix3 + 8ix3 + 3584i2 + -640i2x + -64i2x2 + 280x + 530x + -106x2 + -25x2 + 5x3 + -5x3 + x4) = y Combine like terms: 2240i + -2240i = 0 (-1400 + 0 + 448ix + 400ix + -848ix + -80ix2 + 40ix2 + 40ix2 + -8ix3 + 8ix3 + 3584i2 + -640i2x + -64i2x2 + 280x + 530x + -106x2 + -25x2 + 5x3 + -5x3 + x4) = y (-1400 + 448ix + 400ix + -848ix + -80ix2 + 40ix2 + 40ix2 + -8ix3 + 8ix3 + 3584i2 + -640i2x + -64i2x2 + 280x + 530x + -106x2 + -25x2 + 5x3 + -5x3 + x4) = y Combine like terms: 448ix + 400ix = 848ix (-1400 + 848ix + -848ix + -80ix2 + 40ix2 + 40ix2 + -8ix3 + 8ix3 + 3584i2 + -640i2x + -64i2x2 + 280x + 530x + -106x2 + -25x2 + 5x3 + -5x3 + x4) = y Combine like terms: 848ix + -848ix = 0 (-1400 + 0 + -80ix2 + 40ix2 + 40ix2 + -8ix3 + 8ix3 + 3584i2 + -640i2x + -64i2x2 + 280x + 530x + -106x2 + -25x2 + 5x3 + -5x3 + x4) = y (-1400 + -80ix2 + 40ix2 + 40ix2 + -8ix3 + 8ix3 + 3584i2 + -640i2x + -64i2x2 + 280x + 530x + -106x2 + -25x2 + 5x3 + -5x3 + x4) = y Combine like terms: -80ix2 + 40ix2 = -40ix2 (-1400 + -40ix2 + 40ix2 + -8ix3 + 8ix3 + 3584i2 + -640i2x + -64i2x2 + 280x + 530x + -106x2 + -25x2 + 5x3 + -5x3 + x4) = y Combine like terms: -40ix2 + 40ix2 = 0 (-1400 + 0 + -8ix3 + 8ix3 + 3584i2 + -640i2x + -64i2x2 + 280x + 530x + -106x2 + -25x2 + 5x3 + -5x3 + x4) = y (-1400 + -8ix3 + 8ix3 + 3584i2 + -640i2x + -64i2x2 + 280x + 530x + -106x2 + -25x2 + 5x3 + -5x3 + x4) = y Combine like terms: -8ix3 + 8ix3 = 0 (-1400 + 0 + 3584i2 + -640i2x + -64i2x2 + 280x + 530x + -106x2 + -25x2 + 5x3 + -5x3 + x4) = y (-1400 + 3584i2 + -640i2x + -64i2x2 + 280x + 530x + -106x2 + -25x2 + 5x3 + -5x3 + x4) = y Combine like terms: 280x + 530x = 810x (-1400 + 3584i2 + -640i2x + -64i2x2 + 810x + -106x2 + -25x2 + 5x3 + -5x3 + x4) = y Combine like terms: -106x2 + -25x2 = -131x2 (-1400 + 3584i2 + -640i2x + -64i2x2 + 810x + -131x2 + 5x3 + -5x3 + x4) = y Combine like terms: 5x3 + -5x3 = 0 (-1400 + 3584i2 + -640i2x + -64i2x2 + 810x + -131x2 + 0 + x4) = y (-1400 + 3584i2 + -640i2x + -64i2x2 + 810x + -131x2 + x4) = y Solving -1400 + 3584i2 + -640i2x + -64i2x2 + 810x + -131x2 + x4 = y Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '1400' to each side of the equation. -1400 + 3584i2 + -640i2x + -64i2x2 + 810x + -131x2 + 1400 + x4 = 1400 + y Reorder the terms: -1400 + 1400 + 3584i2 + -640i2x + -64i2x2 + 810x + -131x2 + x4 = 1400 + y Combine like terms: -1400 + 1400 = 0 0 + 3584i2 + -640i2x + -64i2x2 + 810x + -131x2 + x4 = 1400 + y 3584i2 + -640i2x + -64i2x2 + 810x + -131x2 + x4 = 1400 + y Add '-810x' to each side of the equation. 3584i2 + -640i2x + -64i2x2 + 810x + -131x2 + -810x + x4 = 1400 + -810x + y Reorder the terms: 3584i2 + -640i2x + -64i2x2 + 810x + -810x + -131x2 + x4 = 1400 + -810x + y Combine like terms: 810x + -810x = 0 3584i2 + -640i2x + -64i2x2 + 0 + -131x2 + x4 = 1400 + -810x + y 3584i2 + -640i2x + -64i2x2 + -131x2 + x4 = 1400 + -810x + y Add '131x2' to each side of the equation. 3584i2 + -640i2x + -64i2x2 + -131x2 + 131x2 + x4 = 1400 + -810x + 131x2 + y Combine like terms: -131x2 + 131x2 = 0 3584i2 + -640i2x + -64i2x2 + 0 + x4 = 1400 + -810x + 131x2 + y 3584i2 + -640i2x + -64i2x2 + x4 = 1400 + -810x + 131x2 + y Add '-1x4' to each side of the equation. 3584i2 + -640i2x + -64i2x2 + x4 + -1x4 = 1400 + -810x + 131x2 + -1x4 + y Combine like terms: x4 + -1x4 = 0 3584i2 + -640i2x + -64i2x2 + 0 = 1400 + -810x + 131x2 + -1x4 + y 3584i2 + -640i2x + -64i2x2 = 1400 + -810x + 131x2 + -1x4 + y Reorder the terms: -1400 + 3584i2 + -640i2x + -64i2x2 + 810x + -131x2 + x4 + -1y = 1400 + -810x + 131x2 + -1x4 + y + -1400 + 810x + -131x2 + x4 + -1y Reorder the terms: -1400 + 3584i2 + -640i2x + -64i2x2 + 810x + -131x2 + x4 + -1y = 1400 + -1400 + -810x + 810x + 131x2 + -131x2 + -1x4 + x4 + y + -1y Combine like terms: 1400 + -1400 = 0 -1400 + 3584i2 + -640i2x + -64i2x2 + 810x + -131x2 + x4 + -1y = 0 + -810x + 810x + 131x2 + -131x2 + -1x4 + x4 + y + -1y -1400 + 3584i2 + -640i2x + -64i2x2 + 810x + -131x2 + x4 + -1y = -810x + 810x + 131x2 + -131x2 + -1x4 + x4 + y + -1y Combine like terms: -810x + 810x = 0 -1400 + 3584i2 + -640i2x + -64i2x2 + 810x + -131x2 + x4 + -1y = 0 + 131x2 + -131x2 + -1x4 + x4 + y + -1y -1400 + 3584i2 + -640i2x + -64i2x2 + 810x + -131x2 + x4 + -1y = 131x2 + -131x2 + -1x4 + x4 + y + -1y Combine like terms: 131x2 + -131x2 = 0 -1400 + 3584i2 + -640i2x + -64i2x2 + 810x + -131x2 + x4 + -1y = 0 + -1x4 + x4 + y + -1y -1400 + 3584i2 + -640i2x + -64i2x2 + 810x + -131x2 + x4 + -1y = -1x4 + x4 + y + -1y Combine like terms: -1x4 + x4 = 0 -1400 + 3584i2 + -640i2x + -64i2x2 + 810x + -131x2 + x4 + -1y = 0 + y + -1y -1400 + 3584i2 + -640i2x + -64i2x2 + 810x + -131x2 + x4 + -1y = y + -1y Combine like terms: y + -1y = 0 -1400 + 3584i2 + -640i2x + -64i2x2 + 810x + -131x2 + x4 + -1y = 0 The solution to this equation could not be determined.
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