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Simplifying z * z + -1(2 + i) * z + 7i = 1 Multiply z * z z2 + -1(2 + i) * z + 7i = 1 Reorder the terms for easier multiplication: z2 + -1z(2 + i) + 7i = 1 z2 + (2 * -1z + i * -1z) + 7i = 1 Reorder the terms: z2 + (-1iz + -2z) + 7i = 1 z2 + (-1iz + -2z) + 7i = 1 Reorder the terms: 7i + -1iz + -2z + z2 = 1 Solving 7i + -1iz + -2z + z2 = 1 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '2z' to each side of the equation. 7i + -1iz + -2z + 2z + z2 = 1 + 2z Combine like terms: -2z + 2z = 0 7i + -1iz + 0 + z2 = 1 + 2z 7i + -1iz + z2 = 1 + 2z Add '-1z2' to each side of the equation. 7i + -1iz + z2 + -1z2 = 1 + 2z + -1z2 Combine like terms: z2 + -1z2 = 0 7i + -1iz + 0 = 1 + 2z + -1z2 7i + -1iz = 1 + 2z + -1z2 Reorder the terms: -1 + 7i + -1iz + -2z + z2 = 1 + 2z + -1z2 + -1 + -2z + z2 Reorder the terms: -1 + 7i + -1iz + -2z + z2 = 1 + -1 + 2z + -2z + -1z2 + z2 Combine like terms: 1 + -1 = 0 -1 + 7i + -1iz + -2z + z2 = 0 + 2z + -2z + -1z2 + z2 -1 + 7i + -1iz + -2z + z2 = 2z + -2z + -1z2 + z2 Combine like terms: 2z + -2z = 0 -1 + 7i + -1iz + -2z + z2 = 0 + -1z2 + z2 -1 + 7i + -1iz + -2z + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 -1 + 7i + -1iz + -2z + z2 = 0 The solution to this equation could not be determined.
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