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Simplifying Iz2 + (4 + -1i) * z + -1(3 + 3i) = 0 Reorder the terms for easier multiplication: z2I + z(4 + -1i) + -1(3 + 3i) = 0 z2I + (4 * z + -1i * z) + -1(3 + 3i) = 0 Reorder the terms: z2I + (-1iz + 4z) + -1(3 + 3i) = 0 z2I + (-1iz + 4z) + -1(3 + 3i) = 0 z2I + -1iz + 4z + (3 * -1 + 3i * -1) = 0 z2I + -1iz + 4z + (-3 + -3i) = 0 Reorder the terms: -3 + -3i + -1iz + 4z + z2I = 0 Solving -3 + -3i + -1iz + 4z + z2I = 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 + -3i + -1iz + 4z + 3 + z2I = 0 + 3 Reorder the terms: -3 + 3 + -3i + -1iz + 4z + z2I = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -3i + -1iz + 4z + z2I = 0 + 3 -3i + -1iz + 4z + z2I = 0 + 3 Combine like terms: 0 + 3 = 3 -3i + -1iz + 4z + z2I = 3 Add '-4z' to each side of the equation. -3i + -1iz + 4z + -4z + z2I = 3 + -4z Combine like terms: 4z + -4z = 0 -3i + -1iz + 0 + z2I = 3 + -4z -3i + -1iz + z2I = 3 + -4z Add '-1z2I' to each side of the equation. -3i + -1iz + z2I + -1z2I = 3 + -4z + -1z2I Combine like terms: z2I + -1z2I = 0 -3i + -1iz + 0 = 3 + -4z + -1z2I -3i + -1iz = 3 + -4z + -1z2I Reorder the terms: -3 + -3i + -1iz + 4z + z2I = 3 + -4z + -1z2I + -3 + 4z + z2I Reorder the terms: -3 + -3i + -1iz + 4z + z2I = 3 + -3 + -4z + 4z + -1z2I + z2I Combine like terms: 3 + -3 = 0 -3 + -3i + -1iz + 4z + z2I = 0 + -4z + 4z + -1z2I + z2I -3 + -3i + -1iz + 4z + z2I = -4z + 4z + -1z2I + z2I Combine like terms: -4z + 4z = 0 -3 + -3i + -1iz + 4z + z2I = 0 + -1z2I + z2I -3 + -3i + -1iz + 4z + z2I = -1z2I + z2I Combine like terms: -1z2I + z2I = 0 -3 + -3i + -1iz + 4z + z2I = 0 The solution to this equation could not be determined.
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