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Simplifying z2 + (1 + -1i) * z + (-6 + 2i) = 0 Reorder the terms for easier multiplication: z2 + z(1 + -1i) + (-6 + 2i) = 0 z2 + (1 * z + -1i * z) + (-6 + 2i) = 0 Reorder the terms: z2 + (-1iz + 1z) + (-6 + 2i) = 0 z2 + (-1iz + 1z) + (-6 + 2i) = 0 Remove parenthesis around (-6 + 2i) z2 + -1iz + 1z + -6 + 2i = 0 Reorder the terms: -6 + 2i + -1iz + 1z + z2 = 0 Solving -6 + 2i + -1iz + 1z + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 2i + -1iz + 1z + 6 + z2 = 0 + 6 Reorder the terms: -6 + 6 + 2i + -1iz + 1z + z2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 2i + -1iz + 1z + z2 = 0 + 6 2i + -1iz + 1z + z2 = 0 + 6 Combine like terms: 0 + 6 = 6 2i + -1iz + 1z + z2 = 6 Add '-1z' to each side of the equation. 2i + -1iz + 1z + -1z + z2 = 6 + -1z Combine like terms: 1z + -1z = 0 2i + -1iz + 0 + z2 = 6 + -1z 2i + -1iz + z2 = 6 + -1z Add '-1z2' to each side of the equation. 2i + -1iz + z2 + -1z2 = 6 + -1z + -1z2 Combine like terms: z2 + -1z2 = 0 2i + -1iz + 0 = 6 + -1z + -1z2 2i + -1iz = 6 + -1z + -1z2 Reorder the terms: -6 + 2i + -1iz + z + z2 = 6 + -1z + -1z2 + -6 + z + z2 Reorder the terms: -6 + 2i + -1iz + z + z2 = 6 + -6 + -1z + z + -1z2 + z2 Combine like terms: 6 + -6 = 0 -6 + 2i + -1iz + z + z2 = 0 + -1z + z + -1z2 + z2 -6 + 2i + -1iz + z + z2 = -1z + z + -1z2 + z2 Combine like terms: -1z + z = 0 -6 + 2i + -1iz + z + z2 = 0 + -1z2 + z2 -6 + 2i + -1iz + z + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 -6 + 2i + -1iz + z + z2 = 0 The solution to this equation could not be determined.
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