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Simplifying iz3 + (2i + -1) * z2 + -1(i + 4) * z + 3(2i + -1) = 0 Reorder the terms: iz3 + (-1 + 2i) * z2 + -1(i + 4) * z + 3(2i + -1) = 0 Reorder the terms for easier multiplication: iz3 + z2(-1 + 2i) + -1(i + 4) * z + 3(2i + -1) = 0 iz3 + (-1 * z2 + 2i * z2) + -1(i + 4) * z + 3(2i + -1) = 0 Reorder the terms: iz3 + (2iz2 + -1z2) + -1(i + 4) * z + 3(2i + -1) = 0 iz3 + (2iz2 + -1z2) + -1(i + 4) * z + 3(2i + -1) = 0 Reorder the terms: iz3 + 2iz2 + -1z2 + -1(4 + i) * z + 3(2i + -1) = 0 Reorder the terms for easier multiplication: iz3 + 2iz2 + -1z2 + -1z(4 + i) + 3(2i + -1) = 0 iz3 + 2iz2 + -1z2 + (4 * -1z + i * -1z) + 3(2i + -1) = 0 Reorder the terms: iz3 + 2iz2 + -1z2 + (-1iz + -4z) + 3(2i + -1) = 0 iz3 + 2iz2 + -1z2 + (-1iz + -4z) + 3(2i + -1) = 0 Reorder the terms: iz3 + 2iz2 + -1z2 + -1iz + -4z + 3(-1 + 2i) = 0 iz3 + 2iz2 + -1z2 + -1iz + -4z + (-1 * 3 + 2i * 3) = 0 iz3 + 2iz2 + -1z2 + -1iz + -4z + (-3 + 6i) = 0 Reorder the terms: -3 + 6i + -1iz + 2iz2 + iz3 + -4z + -1z2 = 0 Solving -3 + 6i + -1iz + 2iz2 + iz3 + -4z + -1z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 6i + -1iz + 2iz2 + iz3 + -4z + 3 + -1z2 = 0 + 3 Reorder the terms: -3 + 3 + 6i + -1iz + 2iz2 + iz3 + -4z + -1z2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 6i + -1iz + 2iz2 + iz3 + -4z + -1z2 = 0 + 3 6i + -1iz + 2iz2 + iz3 + -4z + -1z2 = 0 + 3 Combine like terms: 0 + 3 = 3 6i + -1iz + 2iz2 + iz3 + -4z + -1z2 = 3 Add '4z' to each side of the equation. 6i + -1iz + 2iz2 + iz3 + -4z + 4z + -1z2 = 3 + 4z Combine like terms: -4z + 4z = 0 6i + -1iz + 2iz2 + iz3 + 0 + -1z2 = 3 + 4z 6i + -1iz + 2iz2 + iz3 + -1z2 = 3 + 4z Add 'z2' to each side of the equation. 6i + -1iz + 2iz2 + iz3 + -1z2 + z2 = 3 + 4z + z2 Combine like terms: -1z2 + z2 = 0 6i + -1iz + 2iz2 + iz3 + 0 = 3 + 4z + z2 6i + -1iz + 2iz2 + iz3 = 3 + 4z + z2 Reorder the terms: -3 + 6i + -1iz + 2iz2 + iz3 + -4z + -1z2 = 3 + 4z + z2 + -3 + -4z + -1z2 Reorder the terms: -3 + 6i + -1iz + 2iz2 + iz3 + -4z + -1z2 = 3 + -3 + 4z + -4z + z2 + -1z2 Combine like terms: 3 + -3 = 0 -3 + 6i + -1iz + 2iz2 + iz3 + -4z + -1z2 = 0 + 4z + -4z + z2 + -1z2 -3 + 6i + -1iz + 2iz2 + iz3 + -4z + -1z2 = 4z + -4z + z2 + -1z2 Combine like terms: 4z + -4z = 0 -3 + 6i + -1iz + 2iz2 + iz3 + -4z + -1z2 = 0 + z2 + -1z2 -3 + 6i + -1iz + 2iz2 + iz3 + -4z + -1z2 = z2 + -1z2 Combine like terms: z2 + -1z2 = 0 -3 + 6i + -1iz + 2iz2 + iz3 + -4z + -1z2 = 0 The solution to this equation could not be determined.
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