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Simplifying z2 + (2 + -4i) * z + -11 + 2i = 0 Reorder the terms for easier multiplication: z2 + z(2 + -4i) + -11 + 2i = 0 z2 + (2 * z + -4i * z) + -11 + 2i = 0 Reorder the terms: z2 + (-4iz + 2z) + -11 + 2i = 0 z2 + (-4iz + 2z) + -11 + 2i = 0 Reorder the terms: -11 + 2i + -4iz + 2z + z2 = 0 Solving -11 + 2i + -4iz + 2z + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 2i + -4iz + 2z + 11 + z2 = 0 + 11 Reorder the terms: -11 + 11 + 2i + -4iz + 2z + z2 = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 2i + -4iz + 2z + z2 = 0 + 11 2i + -4iz + 2z + z2 = 0 + 11 Combine like terms: 0 + 11 = 11 2i + -4iz + 2z + z2 = 11 Add '-2z' to each side of the equation. 2i + -4iz + 2z + -2z + z2 = 11 + -2z Combine like terms: 2z + -2z = 0 2i + -4iz + 0 + z2 = 11 + -2z 2i + -4iz + z2 = 11 + -2z Add '-1z2' to each side of the equation. 2i + -4iz + z2 + -1z2 = 11 + -2z + -1z2 Combine like terms: z2 + -1z2 = 0 2i + -4iz + 0 = 11 + -2z + -1z2 2i + -4iz = 11 + -2z + -1z2 Reorder the terms: -11 + 2i + -4iz + 2z + z2 = 11 + -2z + -1z2 + -11 + 2z + z2 Reorder the terms: -11 + 2i + -4iz + 2z + z2 = 11 + -11 + -2z + 2z + -1z2 + z2 Combine like terms: 11 + -11 = 0 -11 + 2i + -4iz + 2z + z2 = 0 + -2z + 2z + -1z2 + z2 -11 + 2i + -4iz + 2z + z2 = -2z + 2z + -1z2 + z2 Combine like terms: -2z + 2z = 0 -11 + 2i + -4iz + 2z + z2 = 0 + -1z2 + z2 -11 + 2i + -4iz + 2z + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 -11 + 2i + -4iz + 2z + z2 = 0 The solution to this equation could not be determined.
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