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