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Simplifying z2 + (-4 + -1i) * z + (5 + -1i) = 0 Reorder the terms for easier multiplication: z2 + z(-4 + -1i) + (5 + -1i) = 0 z2 + (-4 * z + -1i * z) + (5 + -1i) = 0 Reorder the terms: z2 + (-1iz + -4z) + (5 + -1i) = 0 z2 + (-1iz + -4z) + (5 + -1i) = 0 Remove parenthesis around (5 + -1i) z2 + -1iz + -4z + 5 + -1i = 0 Reorder the terms: 5 + -1i + -1iz + -4z + z2 = 0 Solving 5 + -1i + -1iz + -4z + 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 + -4z + -5 + z2 = 0 + -5 Reorder the terms: 5 + -5 + -1i + -1iz + -4z + z2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1i + -1iz + -4z + z2 = 0 + -5 -1i + -1iz + -4z + z2 = 0 + -5 Combine like terms: 0 + -5 = -5 -1i + -1iz + -4z + z2 = -5 Add '4z' to each side of the equation. -1i + -1iz + -4z + 4z + z2 = -5 + 4z Combine like terms: -4z + 4z = 0 -1i + -1iz + 0 + z2 = -5 + 4z -1i + -1iz + z2 = -5 + 4z Add '-1z2' to each side of the equation. -1i + -1iz + z2 + -1z2 = -5 + 4z + -1z2 Combine like terms: z2 + -1z2 = 0 -1i + -1iz + 0 = -5 + 4z + -1z2 -1i + -1iz = -5 + 4z + -1z2 Reorder the terms: 5 + -1i + -1iz + -4z + z2 = -5 + 4z + -1z2 + 5 + -4z + z2 Reorder the terms: 5 + -1i + -1iz + -4z + z2 = -5 + 5 + 4z + -4z + -1z2 + z2 Combine like terms: -5 + 5 = 0 5 + -1i + -1iz + -4z + z2 = 0 + 4z + -4z + -1z2 + z2 5 + -1i + -1iz + -4z + z2 = 4z + -4z + -1z2 + z2 Combine like terms: 4z + -4z = 0 5 + -1i + -1iz + -4z + z2 = 0 + -1z2 + z2 5 + -1i + -1iz + -4z + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 5 + -1i + -1iz + -4z + z2 = 0 The solution to this equation could not be determined.
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