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Simplifying z2(i + -2) * z + (3 + -1i) = 0 Reorder the terms: z2(-2 + i) * z + (3 + -1i) = 0 Reorder the terms for easier multiplication: z2 * z(-2 + i) + (3 + -1i) = 0 Multiply z2 * z z3(-2 + i) + (3 + -1i) = 0 (-2 * z3 + i * z3) + (3 + -1i) = 0 Reorder the terms: (iz3 + -2z3) + (3 + -1i) = 0 (iz3 + -2z3) + (3 + -1i) = 0 Remove parenthesis around (3 + -1i) iz3 + -2z3 + 3 + -1i = 0 Reorder the terms: 3 + -1i + iz3 + -2z3 = 0 Solving 3 + -1i + iz3 + -2z3 = 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 + iz3 + -3 + -2z3 = 0 + -3 Reorder the terms: 3 + -3 + -1i + iz3 + -2z3 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1i + iz3 + -2z3 = 0 + -3 -1i + iz3 + -2z3 = 0 + -3 Combine like terms: 0 + -3 = -3 -1i + iz3 + -2z3 = -3 Add '2z3' to each side of the equation. -1i + iz3 + -2z3 + 2z3 = -3 + 2z3 Combine like terms: -2z3 + 2z3 = 0 -1i + iz3 + 0 = -3 + 2z3 -1i + iz3 = -3 + 2z3 Reorder the terms: 3 + -1i + iz3 + -2z3 = -3 + 2z3 + 3 + -2z3 Reorder the terms: 3 + -1i + iz3 + -2z3 = -3 + 3 + 2z3 + -2z3 Combine like terms: -3 + 3 = 0 3 + -1i + iz3 + -2z3 = 0 + 2z3 + -2z3 3 + -1i + iz3 + -2z3 = 2z3 + -2z3 Combine like terms: 2z3 + -2z3 = 0 3 + -1i + iz3 + -2z3 = 0 The solution to this equation could not be determined.
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