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Simplifying z2 + -1(5 + 2i) * z + 2i + i = 0 Reorder the terms for easier multiplication: z2 + -1z(5 + 2i) + 2i + i = 0 z2 + (5 * -1z + 2i * -1z) + 2i + i = 0 Reorder the terms: z2 + (-2iz + -5z) + 2i + i = 0 z2 + (-2iz + -5z) + 2i + i = 0 Reorder the terms: 2i + i + -2iz + -5z + z2 = 0 Combine like terms: 2i + i = 3i 3i + -2iz + -5z + z2 = 0 Solving 3i + -2iz + -5z + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '5z' to each side of the equation. 3i + -2iz + -5z + 5z + z2 = 0 + 5z Combine like terms: -5z + 5z = 0 3i + -2iz + 0 + z2 = 0 + 5z 3i + -2iz + z2 = 0 + 5z Remove the zero: 3i + -2iz + z2 = 5z Add '-1z2' to each side of the equation. 3i + -2iz + z2 + -1z2 = 5z + -1z2 Combine like terms: z2 + -1z2 = 0 3i + -2iz + 0 = 5z + -1z2 3i + -2iz = 5z + -1z2 Reorder the terms: 3i + -2iz + -5z + z2 = 5z + -5z + -1z2 + z2 Combine like terms: 5z + -5z = 0 3i + -2iz + -5z + z2 = 0 + -1z2 + z2 3i + -2iz + -5z + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 3i + -2iz + -5z + z2 = 0 The solution to this equation could not be determined.
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