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Simplifying 2iz3 + (1 + -2i) * z2 + (2i + -3) * z + (1 + i) = 0 Reorder the terms for easier multiplication: 2iz3 + z2(1 + -2i) + (2i + -3) * z + (1 + i) = 0 2iz3 + (1 * z2 + -2i * z2) + (2i + -3) * z + (1 + i) = 0 Reorder the terms: 2iz3 + (-2iz2 + 1z2) + (2i + -3) * z + (1 + i) = 0 2iz3 + (-2iz2 + 1z2) + (2i + -3) * z + (1 + i) = 0 Reorder the terms: 2iz3 + -2iz2 + 1z2 + (-3 + 2i) * z + (1 + i) = 0 Reorder the terms for easier multiplication: 2iz3 + -2iz2 + 1z2 + z(-3 + 2i) + (1 + i) = 0 2iz3 + -2iz2 + 1z2 + (-3 * z + 2i * z) + (1 + i) = 0 Reorder the terms: 2iz3 + -2iz2 + 1z2 + (2iz + -3z) + (1 + i) = 0 2iz3 + -2iz2 + 1z2 + (2iz + -3z) + (1 + i) = 0 Remove parenthesis around (1 + i) 2iz3 + -2iz2 + 1z2 + 2iz + -3z + 1 + i = 0 Reorder the terms: 1 + i + 2iz + -2iz2 + 2iz3 + -3z + 1z2 = 0 Solving 1 + i + 2iz + -2iz2 + 2iz3 + -3z + 1z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + i + 2iz + -2iz2 + 2iz3 + -3z + -1 + 1z2 = 0 + -1 Reorder the terms: 1 + -1 + i + 2iz + -2iz2 + 2iz3 + -3z + 1z2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + i + 2iz + -2iz2 + 2iz3 + -3z + 1z2 = 0 + -1 i + 2iz + -2iz2 + 2iz3 + -3z + 1z2 = 0 + -1 Combine like terms: 0 + -1 = -1 i + 2iz + -2iz2 + 2iz3 + -3z + 1z2 = -1 Add '3z' to each side of the equation. i + 2iz + -2iz2 + 2iz3 + -3z + 3z + 1z2 = -1 + 3z Combine like terms: -3z + 3z = 0 i + 2iz + -2iz2 + 2iz3 + 0 + 1z2 = -1 + 3z i + 2iz + -2iz2 + 2iz3 + 1z2 = -1 + 3z Add '-1z2' to each side of the equation. i + 2iz + -2iz2 + 2iz3 + 1z2 + -1z2 = -1 + 3z + -1z2 Combine like terms: 1z2 + -1z2 = 0 i + 2iz + -2iz2 + 2iz3 + 0 = -1 + 3z + -1z2 i + 2iz + -2iz2 + 2iz3 = -1 + 3z + -1z2 Reorder the terms: 1 + i + 2iz + -2iz2 + 2iz3 + -3z + z2 = -1 + 3z + -1z2 + 1 + -3z + z2 Reorder the terms: 1 + i + 2iz + -2iz2 + 2iz3 + -3z + z2 = -1 + 1 + 3z + -3z + -1z2 + z2 Combine like terms: -1 + 1 = 0 1 + i + 2iz + -2iz2 + 2iz3 + -3z + z2 = 0 + 3z + -3z + -1z2 + z2 1 + i + 2iz + -2iz2 + 2iz3 + -3z + z2 = 3z + -3z + -1z2 + z2 Combine like terms: 3z + -3z = 0 1 + i + 2iz + -2iz2 + 2iz3 + -3z + z2 = 0 + -1z2 + z2 1 + i + 2iz + -2iz2 + 2iz3 + -3z + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 1 + i + 2iz + -2iz2 + 2iz3 + -3z + z2 = 0 The solution to this equation could not be determined.
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