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