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Simplifying z2 + (2i + -4) * z + (11 + 2i) = 0 Reorder the terms: z2 + (-4 + 2i) * z + (11 + 2i) = 0 Reorder the terms for easier multiplication: z2 + z(-4 + 2i) + (11 + 2i) = 0 z2 + (-4 * z + 2i * z) + (11 + 2i) = 0 Reorder the terms: z2 + (2iz + -4z) + (11 + 2i) = 0 z2 + (2iz + -4z) + (11 + 2i) = 0 Remove parenthesis around (11 + 2i) z2 + 2iz + -4z + 11 + 2i = 0 Reorder the terms: 11 + 2i + 2iz + -4z + z2 = 0 Solving 11 + 2i + 2iz + -4z + 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 + 2iz + -4z + -11 + z2 = 0 + -11 Reorder the terms: 11 + -11 + 2i + 2iz + -4z + z2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2i + 2iz + -4z + z2 = 0 + -11 2i + 2iz + -4z + z2 = 0 + -11 Combine like terms: 0 + -11 = -11 2i + 2iz + -4z + z2 = -11 Add '4z' to each side of the equation. 2i + 2iz + -4z + 4z + z2 = -11 + 4z Combine like terms: -4z + 4z = 0 2i + 2iz + 0 + z2 = -11 + 4z 2i + 2iz + z2 = -11 + 4z Add '-1z2' to each side of the equation. 2i + 2iz + z2 + -1z2 = -11 + 4z + -1z2 Combine like terms: z2 + -1z2 = 0 2i + 2iz + 0 = -11 + 4z + -1z2 2i + 2iz = -11 + 4z + -1z2 Reorder the terms: 11 + 2i + 2iz + -4z + z2 = -11 + 4z + -1z2 + 11 + -4z + z2 Reorder the terms: 11 + 2i + 2iz + -4z + z2 = -11 + 11 + 4z + -4z + -1z2 + z2 Combine like terms: -11 + 11 = 0 11 + 2i + 2iz + -4z + z2 = 0 + 4z + -4z + -1z2 + z2 11 + 2i + 2iz + -4z + z2 = 4z + -4z + -1z2 + z2 Combine like terms: 4z + -4z = 0 11 + 2i + 2iz + -4z + z2 = 0 + -1z2 + z2 11 + 2i + 2iz + -4z + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 11 + 2i + 2iz + -4z + z2 = 0 The solution to this equation could not be determined.
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