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Simplifying (3 + 4i) * z = 7 + 26i Reorder the terms for easier multiplication: z(3 + 4i) = 7 + 26i (3 * z + 4i * z) = 7 + 26i Reorder the terms: (4iz + 3z) = 7 + 26i (4iz + 3z) = 7 + 26i Solving 4iz + 3z = 7 + 26i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-26i' to each side of the equation. 4iz + -26i + 3z = 7 + 26i + -26i Reorder the terms: -26i + 4iz + 3z = 7 + 26i + -26i Combine like terms: 26i + -26i = 0 -26i + 4iz + 3z = 7 + 0 -26i + 4iz + 3z = 7 Add '-3z' to each side of the equation. -26i + 4iz + 3z + -3z = 7 + -3z Combine like terms: 3z + -3z = 0 -26i + 4iz + 0 = 7 + -3z -26i + 4iz = 7 + -3z Reorder the terms: -7 + -26i + 4iz + 3z = 7 + -3z + -7 + 3z Reorder the terms: -7 + -26i + 4iz + 3z = 7 + -7 + -3z + 3z Combine like terms: 7 + -7 = 0 -7 + -26i + 4iz + 3z = 0 + -3z + 3z -7 + -26i + 4iz + 3z = -3z + 3z Combine like terms: -3z + 3z = 0 -7 + -26i + 4iz + 3z = 0 The solution to this equation could not be determined.
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