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Simplifying (x + -8 + 2i)(x + -8 + -2i) = 0 Reorder the terms: (-8 + 2i + x)(x + -8 + -2i) = 0 Reorder the terms: (-8 + 2i + x)(-8 + -2i + x) = 0 Multiply (-8 + 2i + x) * (-8 + -2i + x) (-8(-8 + -2i + x) + 2i * (-8 + -2i + x) + x(-8 + -2i + x)) = 0 ((-8 * -8 + -2i * -8 + x * -8) + 2i * (-8 + -2i + x) + x(-8 + -2i + x)) = 0 ((64 + 16i + -8x) + 2i * (-8 + -2i + x) + x(-8 + -2i + x)) = 0 (64 + 16i + -8x + (-8 * 2i + -2i * 2i + x * 2i) + x(-8 + -2i + x)) = 0 Reorder the terms: (64 + 16i + -8x + (-16i + 2ix + -4i2) + x(-8 + -2i + x)) = 0 (64 + 16i + -8x + (-16i + 2ix + -4i2) + x(-8 + -2i + x)) = 0 (64 + 16i + -8x + -16i + 2ix + -4i2 + (-8 * x + -2i * x + x * x)) = 0 Reorder the terms: (64 + 16i + -8x + -16i + 2ix + -4i2 + (-2ix + -8x + x2)) = 0 (64 + 16i + -8x + -16i + 2ix + -4i2 + (-2ix + -8x + x2)) = 0 Reorder the terms: (64 + 16i + -16i + 2ix + -2ix + -4i2 + -8x + -8x + x2) = 0 Combine like terms: 16i + -16i = 0 (64 + 0 + 2ix + -2ix + -4i2 + -8x + -8x + x2) = 0 (64 + 2ix + -2ix + -4i2 + -8x + -8x + x2) = 0 Combine like terms: 2ix + -2ix = 0 (64 + 0 + -4i2 + -8x + -8x + x2) = 0 (64 + -4i2 + -8x + -8x + x2) = 0 Combine like terms: -8x + -8x = -16x (64 + -4i2 + -16x + x2) = 0 Solving 64 + -4i2 + -16x + x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -4i2 + -16x + -64 + x2 = 0 + -64 Reorder the terms: 64 + -64 + -4i2 + -16x + x2 = 0 + -64 Combine like terms: 64 + -64 = 0 0 + -4i2 + -16x + x2 = 0 + -64 -4i2 + -16x + x2 = 0 + -64 Combine like terms: 0 + -64 = -64 -4i2 + -16x + x2 = -64 Add '16x' to each side of the equation. -4i2 + -16x + 16x + x2 = -64 + 16x Combine like terms: -16x + 16x = 0 -4i2 + 0 + x2 = -64 + 16x -4i2 + x2 = -64 + 16x Add '-1x2' to each side of the equation. -4i2 + x2 + -1x2 = -64 + 16x + -1x2 Combine like terms: x2 + -1x2 = 0 -4i2 + 0 = -64 + 16x + -1x2 -4i2 = -64 + 16x + -1x2 Divide each side by '-4'. i2 = 16 + -4x + 0.25x2 Simplifying i2 = 16 + -4x + 0.25x2 Reorder the terms: -16 + i2 + 4x + -0.25x2 = 16 + -4x + 0.25x2 + -16 + 4x + -0.25x2 Reorder the terms: -16 + i2 + 4x + -0.25x2 = 16 + -16 + -4x + 4x + 0.25x2 + -0.25x2 Combine like terms: 16 + -16 = 0 -16 + i2 + 4x + -0.25x2 = 0 + -4x + 4x + 0.25x2 + -0.25x2 -16 + i2 + 4x + -0.25x2 = -4x + 4x + 0.25x2 + -0.25x2 Combine like terms: -4x + 4x = 0 -16 + i2 + 4x + -0.25x2 = 0 + 0.25x2 + -0.25x2 -16 + i2 + 4x + -0.25x2 = 0.25x2 + -0.25x2 Combine like terms: 0.25x2 + -0.25x2 = 0.00 -16 + i2 + 4x + -0.25x2 = 0.00 The solution to this equation could not be determined.
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