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Simplifying z2 + -1(6 + -1i) * z + 5 + -1i = 0 Reorder the terms for easier multiplication: z2 + -1z(6 + -1i) + 5 + -1i = 0 z2 + (6 * -1z + -1i * -1z) + 5 + -1i = 0 Reorder the terms: z2 + (1iz + -6z) + 5 + -1i = 0 z2 + (1iz + -6z) + 5 + -1i = 0 Reorder the terms: 5 + -1i + 1iz + -6z + z2 = 0 Solving 5 + -1i + 1iz + -6z + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -1i + 1iz + -6z + -5 + z2 = 0 + -5 Reorder the terms: 5 + -5 + -1i + 1iz + -6z + z2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1i + 1iz + -6z + z2 = 0 + -5 -1i + 1iz + -6z + z2 = 0 + -5 Combine like terms: 0 + -5 = -5 -1i + 1iz + -6z + z2 = -5 Add '6z' to each side of the equation. -1i + 1iz + -6z + 6z + z2 = -5 + 6z Combine like terms: -6z + 6z = 0 -1i + 1iz + 0 + z2 = -5 + 6z -1i + 1iz + z2 = -5 + 6z Add '-1z2' to each side of the equation. -1i + 1iz + z2 + -1z2 = -5 + 6z + -1z2 Combine like terms: z2 + -1z2 = 0 -1i + 1iz + 0 = -5 + 6z + -1z2 -1i + 1iz = -5 + 6z + -1z2 Reorder the terms: 5 + -1i + 1iz + -6z + z2 = -5 + 6z + -1z2 + 5 + -6z + z2 Reorder the terms: 5 + -1i + 1iz + -6z + z2 = -5 + 5 + 6z + -6z + -1z2 + z2 Combine like terms: -5 + 5 = 0 5 + -1i + 1iz + -6z + z2 = 0 + 6z + -6z + -1z2 + z2 5 + -1i + 1iz + -6z + z2 = 6z + -6z + -1z2 + z2 Combine like terms: 6z + -6z = 0 5 + -1i + 1iz + -6z + z2 = 0 + -1z2 + z2 5 + -1i + 1iz + -6z + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 5 + -1i + 1iz + -6z + z2 = 0 The solution to this equation could not be determined.
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