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