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Simplifying z2i + z(2 + -3i) + -1(3 + i) = 0 iz2 + (2 * z + -3i * z) + -1(3 + i) = 0 Reorder the terms: iz2 + (-3iz + 2z) + -1(3 + i) = 0 iz2 + (-3iz + 2z) + -1(3 + i) = 0 iz2 + -3iz + 2z + (3 * -1 + i * -1) = 0 iz2 + -3iz + 2z + (-3 + -1i) = 0 Reorder the terms: -3 + -1i + -3iz + iz2 + 2z = 0 Solving -3 + -1i + -3iz + iz2 + 2z = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -1i + -3iz + iz2 + 3 + 2z = 0 + 3 Reorder the terms: -3 + 3 + -1i + -3iz + iz2 + 2z = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1i + -3iz + iz2 + 2z = 0 + 3 -1i + -3iz + iz2 + 2z = 0 + 3 Combine like terms: 0 + 3 = 3 -1i + -3iz + iz2 + 2z = 3 Add '-2z' to each side of the equation. -1i + -3iz + iz2 + 2z + -2z = 3 + -2z Combine like terms: 2z + -2z = 0 -1i + -3iz + iz2 + 0 = 3 + -2z -1i + -3iz + iz2 = 3 + -2z Reorder the terms: -3 + -1i + -3iz + iz2 + 2z = 3 + -2z + -3 + 2z Reorder the terms: -3 + -1i + -3iz + iz2 + 2z = 3 + -3 + -2z + 2z Combine like terms: 3 + -3 = 0 -3 + -1i + -3iz + iz2 + 2z = 0 + -2z + 2z -3 + -1i + -3iz + iz2 + 2z = -2z + 2z Combine like terms: -2z + 2z = 0 -3 + -1i + -3iz + iz2 + 2z = 0 The solution to this equation could not be determined.
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