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Simplifying 0 = z2 + -1(1 + 2i) * z + -1x + 2i Reorder the terms for easier multiplication: 0 = z2 + -1z(1 + 2i) + -1x + 2i 0 = z2 + (1 * -1z + 2i * -1z) + -1x + 2i Reorder the terms: 0 = z2 + (-2iz + -1z) + -1x + 2i 0 = z2 + (-2iz + -1z) + -1x + 2i Reorder the terms: 0 = 2i + -2iz + -1x + -1z + z2 Solving 0 = 2i + -2iz + -1x + -1z + z2 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2i' to each side of the equation. 0 + -2i = 2i + -2iz + -1x + -1z + -2i + z2 Remove the zero: -2i = 2i + -2iz + -1x + -1z + -2i + z2 Reorder the terms: -2i = 2i + -2i + -2iz + -1x + -1z + z2 Combine like terms: 2i + -2i = 0 -2i = 0 + -2iz + -1x + -1z + z2 -2i = -2iz + -1x + -1z + z2 Add '2iz' to each side of the equation. -2i + 2iz = -2iz + -1x + -1z + 2iz + z2 Reorder the terms: -2i + 2iz = -2iz + 2iz + -1x + -1z + z2 Combine like terms: -2iz + 2iz = 0 -2i + 2iz = 0 + -1x + -1z + z2 -2i + 2iz = -1x + -1z + z2 Reorder the terms: -2i + 2iz + x + z + -1z2 = -1x + x + -1z + z + z2 + -1z2 Combine like terms: -1x + x = 0 -2i + 2iz + x + z + -1z2 = 0 + -1z + z + z2 + -1z2 -2i + 2iz + x + z + -1z2 = -1z + z + z2 + -1z2 Combine like terms: -1z + z = 0 -2i + 2iz + x + z + -1z2 = 0 + z2 + -1z2 -2i + 2iz + x + z + -1z2 = z2 + -1z2 Combine like terms: z2 + -1z2 = 0 -2i + 2iz + x + z + -1z2 = 0 The solution to this equation could not be determined.
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