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