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Simplifying (1 + 2i) * z = 5 Reorder the terms for easier multiplication: z(1 + 2i) = 5 (1 * z + 2i * z) = 5 Reorder the terms: (2iz + 1z) = 5 (2iz + 1z) = 5 Solving 2iz + 1z = 5 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1z' to each side of the equation. 2iz + 1z + -1z = 5 + -1z Combine like terms: 1z + -1z = 0 2iz + 0 = 5 + -1z 2iz = 5 + -1z Divide each side by '2z'. i = 2.5z-1 + -0.5 Simplifying i = 2.5z-1 + -0.5 Reorder the terms: i = -0.5 + 2.5z-1
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