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