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Simplifying (2 + i) * z2 + -1(5 + -1i) * z + 2 + -2i = 0 Reorder the terms for easier multiplication: z2(2 + i) + -1(5 + -1i) * z + 2 + -2i = 0 (2 * z2 + i * z2) + -1(5 + -1i) * z + 2 + -2i = 0 Reorder the terms: (iz2 + 2z2) + -1(5 + -1i) * z + 2 + -2i = 0 (iz2 + 2z2) + -1(5 + -1i) * z + 2 + -2i = 0 Reorder the terms for easier multiplication: iz2 + 2z2 + -1z(5 + -1i) + 2 + -2i = 0 iz2 + 2z2 + (5 * -1z + -1i * -1z) + 2 + -2i = 0 Reorder the terms: iz2 + 2z2 + (1iz + -5z) + 2 + -2i = 0 iz2 + 2z2 + (1iz + -5z) + 2 + -2i = 0 Reorder the terms: 2 + -2i + 1iz + iz2 + -5z + 2z2 = 0 Solving 2 + -2i + 1iz + iz2 + -5z + 2z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2i + 1iz + iz2 + -5z + -2 + 2z2 = 0 + -2 Reorder the terms: 2 + -2 + -2i + 1iz + iz2 + -5z + 2z2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2i + 1iz + iz2 + -5z + 2z2 = 0 + -2 -2i + 1iz + iz2 + -5z + 2z2 = 0 + -2 Combine like terms: 0 + -2 = -2 -2i + 1iz + iz2 + -5z + 2z2 = -2 Add '5z' to each side of the equation. -2i + 1iz + iz2 + -5z + 5z + 2z2 = -2 + 5z Combine like terms: -5z + 5z = 0 -2i + 1iz + iz2 + 0 + 2z2 = -2 + 5z -2i + 1iz + iz2 + 2z2 = -2 + 5z Add '-2z2' to each side of the equation. -2i + 1iz + iz2 + 2z2 + -2z2 = -2 + 5z + -2z2 Combine like terms: 2z2 + -2z2 = 0 -2i + 1iz + iz2 + 0 = -2 + 5z + -2z2 -2i + 1iz + iz2 = -2 + 5z + -2z2 Reorder the terms: 2 + -2i + 1iz + iz2 + -5z + 2z2 = -2 + 5z + -2z2 + 2 + -5z + 2z2 Reorder the terms: 2 + -2i + 1iz + iz2 + -5z + 2z2 = -2 + 2 + 5z + -5z + -2z2 + 2z2 Combine like terms: -2 + 2 = 0 2 + -2i + 1iz + iz2 + -5z + 2z2 = 0 + 5z + -5z + -2z2 + 2z2 2 + -2i + 1iz + iz2 + -5z + 2z2 = 5z + -5z + -2z2 + 2z2 Combine like terms: 5z + -5z = 0 2 + -2i + 1iz + iz2 + -5z + 2z2 = 0 + -2z2 + 2z2 2 + -2i + 1iz + iz2 + -5z + 2z2 = -2z2 + 2z2 Combine like terms: -2z2 + 2z2 = 0 2 + -2i + 1iz + iz2 + -5z + 2z2 = 0 The solution to this equation could not be determined.
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