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Simplifying (1 + z) + -3i(2 + -1z) = iz + 1 Remove parenthesis around (1 + z) 1 + z + -3i(2 + -1z) = iz + 1 1 + z + (2 * -3i + -1z * -3i) = iz + 1 1 + z + (-6i + 3iz) = iz + 1 Reorder the terms: 1 + -6i + 3iz + z = iz + 1 Reorder the terms: 1 + -6i + 3iz + z = 1 + iz Add '-1' to each side of the equation. 1 + -6i + 3iz + -1 + z = 1 + -1 + iz Reorder the terms: 1 + -1 + -6i + 3iz + z = 1 + -1 + iz Combine like terms: 1 + -1 = 0 0 + -6i + 3iz + z = 1 + -1 + iz -6i + 3iz + z = 1 + -1 + iz Combine like terms: 1 + -1 = 0 -6i + 3iz + z = 0 + iz -6i + 3iz + z = iz Solving -6i + 3iz + z = 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. -6i + 3iz + -1iz + z = iz + -1iz Combine like terms: 3iz + -1iz = 2iz -6i + 2iz + z = iz + -1iz Combine like terms: iz + -1iz = 0 -6i + 2iz + z = 0 Add '-1z' to each side of the equation. -6i + 2iz + z + -1z = 0 + -1z Combine like terms: z + -1z = 0 -6i + 2iz + 0 = 0 + -1z -6i + 2iz = 0 + -1z Remove the zero: -6i + 2iz = -1z Combine like terms: -1z + z = 0 -6i + 2iz + z = 0 The solution to this equation could not be determined.
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