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Simplifying (1 + -2i) * z = (1 + i) * z Reorder the terms for easier multiplication: z(1 + -2i) = (1 + i) * z (1 * z + -2i * z) = (1 + i) * z Reorder the terms: (-2iz + 1z) = (1 + i) * z (-2iz + 1z) = (1 + i) * z Reorder the terms for easier multiplication: -2iz + 1z = z(1 + i) -2iz + 1z = (1 * z + i * z) Reorder the terms: -2iz + 1z = (iz + 1z) -2iz + 1z = (iz + 1z) Add '-1z' to each side of the equation. -2iz + 1z + -1z = iz + 1z + -1z Combine like terms: 1z + -1z = 0 -2iz + 0 = iz + 1z + -1z -2iz = iz + 1z + -1z Combine like terms: 1z + -1z = 0 -2iz = iz + 0 -2iz = iz Solving -2iz = iz Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1iz' to each side of the equation. -2iz + -1iz = iz + -1iz Combine like terms: -2iz + -1iz = -3iz -3iz = iz + -1iz Combine like terms: iz + -1iz = 0 -3iz = 0 Divide each side by '-3'. iz = 0 Simplifying iz = 0 The solution to this equation could not be determined.
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