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Simplifying z2 + (3 + -2i) * z + 6i = 0 Reorder the terms for easier multiplication: z2 + z(3 + -2i) + 6i = 0 z2 + (3 * z + -2i * z) + 6i = 0 Reorder the terms: z2 + (-2iz + 3z) + 6i = 0 z2 + (-2iz + 3z) + 6i = 0 Reorder the terms: 6i + -2iz + 3z + z2 = 0 Solving 6i + -2iz + 3z + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3z' to each side of the equation. 6i + -2iz + 3z + -3z + z2 = 0 + -3z Combine like terms: 3z + -3z = 0 6i + -2iz + 0 + z2 = 0 + -3z 6i + -2iz + z2 = 0 + -3z Remove the zero: 6i + -2iz + z2 = -3z Add '-1z2' to each side of the equation. 6i + -2iz + z2 + -1z2 = -3z + -1z2 Combine like terms: z2 + -1z2 = 0 6i + -2iz + 0 = -3z + -1z2 6i + -2iz = -3z + -1z2 Reorder the terms: 6i + -2iz + 3z + z2 = -3z + 3z + -1z2 + z2 Combine like terms: -3z + 3z = 0 6i + -2iz + 3z + z2 = 0 + -1z2 + z2 6i + -2iz + 3z + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 6i + -2iz + 3z + z2 = 0 The solution to this equation could not be determined.
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