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Simplifying (1 + i) * z2 + (-2 + 4i) * z + -1(7 + 9i) = 0 Reorder the terms for easier multiplication: z2(1 + i) + (-2 + 4i) * z + -1(7 + 9i) = 0 (1 * z2 + i * z2) + (-2 + 4i) * z + -1(7 + 9i) = 0 Reorder the terms: (iz2 + 1z2) + (-2 + 4i) * z + -1(7 + 9i) = 0 (iz2 + 1z2) + (-2 + 4i) * z + -1(7 + 9i) = 0 Reorder the terms for easier multiplication: iz2 + 1z2 + z(-2 + 4i) + -1(7 + 9i) = 0 iz2 + 1z2 + (-2 * z + 4i * z) + -1(7 + 9i) = 0 Reorder the terms: iz2 + 1z2 + (4iz + -2z) + -1(7 + 9i) = 0 iz2 + 1z2 + (4iz + -2z) + -1(7 + 9i) = 0 iz2 + 1z2 + 4iz + -2z + (7 * -1 + 9i * -1) = 0 iz2 + 1z2 + 4iz + -2z + (-7 + -9i) = 0 Reorder the terms: -7 + -9i + 4iz + iz2 + -2z + 1z2 = 0 Solving -7 + -9i + 4iz + iz2 + -2z + 1z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '7' to each side of the equation. -7 + -9i + 4iz + iz2 + -2z + 7 + 1z2 = 0 + 7 Reorder the terms: -7 + 7 + -9i + 4iz + iz2 + -2z + 1z2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -9i + 4iz + iz2 + -2z + 1z2 = 0 + 7 -9i + 4iz + iz2 + -2z + 1z2 = 0 + 7 Combine like terms: 0 + 7 = 7 -9i + 4iz + iz2 + -2z + 1z2 = 7 Add '2z' to each side of the equation. -9i + 4iz + iz2 + -2z + 2z + 1z2 = 7 + 2z Combine like terms: -2z + 2z = 0 -9i + 4iz + iz2 + 0 + 1z2 = 7 + 2z -9i + 4iz + iz2 + 1z2 = 7 + 2z Add '-1z2' to each side of the equation. -9i + 4iz + iz2 + 1z2 + -1z2 = 7 + 2z + -1z2 Combine like terms: 1z2 + -1z2 = 0 -9i + 4iz + iz2 + 0 = 7 + 2z + -1z2 -9i + 4iz + iz2 = 7 + 2z + -1z2 Reorder the terms: -7 + -9i + 4iz + iz2 + -2z + z2 = 7 + 2z + -1z2 + -7 + -2z + z2 Reorder the terms: -7 + -9i + 4iz + iz2 + -2z + z2 = 7 + -7 + 2z + -2z + -1z2 + z2 Combine like terms: 7 + -7 = 0 -7 + -9i + 4iz + iz2 + -2z + z2 = 0 + 2z + -2z + -1z2 + z2 -7 + -9i + 4iz + iz2 + -2z + z2 = 2z + -2z + -1z2 + z2 Combine like terms: 2z + -2z = 0 -7 + -9i + 4iz + iz2 + -2z + z2 = 0 + -1z2 + z2 -7 + -9i + 4iz + iz2 + -2z + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 -7 + -9i + 4iz + iz2 + -2z + z2 = 0 The solution to this equation could not be determined.
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