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