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