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Simplifying (3 + -1i) * z2 + iz + -1 = 0 Reorder the terms for easier multiplication: z2(3 + -1i) + iz + -1 = 0 (3 * z2 + -1i * z2) + iz + -1 = 0 Reorder the terms: (-1iz2 + 3z2) + iz + -1 = 0 (-1iz2 + 3z2) + iz + -1 = 0 Reorder the terms: -1 + iz + -1iz2 + 3z2 = 0 Solving -1 + iz + -1iz2 + 3z2 = 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 + iz + -1iz2 + 1 + 3z2 = 0 + 1 Reorder the terms: -1 + 1 + iz + -1iz2 + 3z2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + iz + -1iz2 + 3z2 = 0 + 1 iz + -1iz2 + 3z2 = 0 + 1 Combine like terms: 0 + 1 = 1 iz + -1iz2 + 3z2 = 1 Add '-3z2' to each side of the equation. iz + -1iz2 + 3z2 + -3z2 = 1 + -3z2 Combine like terms: 3z2 + -3z2 = 0 iz + -1iz2 + 0 = 1 + -3z2 iz + -1iz2 = 1 + -3z2 Reorder the terms: -1 + iz + -1iz2 + 3z2 = 1 + -3z2 + -1 + 3z2 Reorder the terms: -1 + iz + -1iz2 + 3z2 = 1 + -1 + -3z2 + 3z2 Combine like terms: 1 + -1 = 0 -1 + iz + -1iz2 + 3z2 = 0 + -3z2 + 3z2 -1 + iz + -1iz2 + 3z2 = -3z2 + 3z2 Combine like terms: -3z2 + 3z2 = 0 -1 + iz + -1iz2 + 3z2 = 0 The solution to this equation could not be determined.
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