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Simplifying (1 + -2i) * z2 + 6iz + -12i = 0 Reorder the terms for easier multiplication: z2(1 + -2i) + 6iz + -12i = 0 (1 * z2 + -2i * z2) + 6iz + -12i = 0 Reorder the terms: (-2iz2 + 1z2) + 6iz + -12i = 0 (-2iz2 + 1z2) + 6iz + -12i = 0 Reorder the terms: -12i + 6iz + -2iz2 + 1z2 = 0 Solving -12i + 6iz + -2iz2 + 1z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1z2' to each side of the equation. -12i + 6iz + -2iz2 + 1z2 + -1z2 = 0 + -1z2 Combine like terms: 1z2 + -1z2 = 0 -12i + 6iz + -2iz2 + 0 = 0 + -1z2 -12i + 6iz + -2iz2 = 0 + -1z2 Remove the zero: -12i + 6iz + -2iz2 = -1z2 Combine like terms: -1z2 + z2 = 0 -12i + 6iz + -2iz2 + z2 = 0 The solution to this equation could not be determined.
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