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Simplifying (0.25 + 0.25i) * z2 + -1iz + -1 = 0 Reorder the terms for easier multiplication: z2(0.25 + 0.25i) + -1iz + -1 = 0 (0.25 * z2 + 0.25i * z2) + -1iz + -1 = 0 Reorder the terms: (0.25iz2 + 0.25z2) + -1iz + -1 = 0 (0.25iz2 + 0.25z2) + -1iz + -1 = 0 Reorder the terms: -1 + -1iz + 0.25iz2 + 0.25z2 = 0 Solving -1 + -1iz + 0.25iz2 + 0.25z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -1iz + 0.25iz2 + 1 + 0.25z2 = 0 + 1 Reorder the terms: -1 + 1 + -1iz + 0.25iz2 + 0.25z2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1iz + 0.25iz2 + 0.25z2 = 0 + 1 -1iz + 0.25iz2 + 0.25z2 = 0 + 1 Combine like terms: 0 + 1 = 1 -1iz + 0.25iz2 + 0.25z2 = 1 Add '-0.25z2' to each side of the equation. -1iz + 0.25iz2 + 0.25z2 + -0.25z2 = 1 + -0.25z2 Combine like terms: 0.25z2 + -0.25z2 = 0.00 -1iz + 0.25iz2 + 0.00 = 1 + -0.25z2 -1iz + 0.25iz2 = 1 + -0.25z2 Reorder the terms: -1 + -1iz + 0.25iz2 + 0.25z2 = 1 + -0.25z2 + -1 + 0.25z2 Reorder the terms: -1 + -1iz + 0.25iz2 + 0.25z2 = 1 + -1 + -0.25z2 + 0.25z2 Combine like terms: 1 + -1 = 0 -1 + -1iz + 0.25iz2 + 0.25z2 = 0 + -0.25z2 + 0.25z2 -1 + -1iz + 0.25iz2 + 0.25z2 = -0.25z2 + 0.25z2 Combine like terms: -0.25z2 + 0.25z2 = 0.00 -1 + -1iz + 0.25iz2 + 0.25z2 = 0.00 The solution to this equation could not be determined.
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