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Simplifying z2 + (2 + 2i) * z + (7 + 26i) = 0 Reorder the terms for easier multiplication: z2 + z(2 + 2i) + (7 + 26i) = 0 z2 + (2 * z + 2i * z) + (7 + 26i) = 0 Reorder the terms: z2 + (2iz + 2z) + (7 + 26i) = 0 z2 + (2iz + 2z) + (7 + 26i) = 0 Remove parenthesis around (7 + 26i) z2 + 2iz + 2z + 7 + 26i = 0 Reorder the terms: 7 + 26i + 2iz + 2z + z2 = 0 Solving 7 + 26i + 2iz + 2z + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 26i + 2iz + 2z + -7 + z2 = 0 + -7 Reorder the terms: 7 + -7 + 26i + 2iz + 2z + z2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 26i + 2iz + 2z + z2 = 0 + -7 26i + 2iz + 2z + z2 = 0 + -7 Combine like terms: 0 + -7 = -7 26i + 2iz + 2z + z2 = -7 Add '-2z' to each side of the equation. 26i + 2iz + 2z + -2z + z2 = -7 + -2z Combine like terms: 2z + -2z = 0 26i + 2iz + 0 + z2 = -7 + -2z 26i + 2iz + z2 = -7 + -2z Add '-1z2' to each side of the equation. 26i + 2iz + z2 + -1z2 = -7 + -2z + -1z2 Combine like terms: z2 + -1z2 = 0 26i + 2iz + 0 = -7 + -2z + -1z2 26i + 2iz = -7 + -2z + -1z2 Reorder the terms: 7 + 26i + 2iz + 2z + z2 = -7 + -2z + -1z2 + 7 + 2z + z2 Reorder the terms: 7 + 26i + 2iz + 2z + z2 = -7 + 7 + -2z + 2z + -1z2 + z2 Combine like terms: -7 + 7 = 0 7 + 26i + 2iz + 2z + z2 = 0 + -2z + 2z + -1z2 + z2 7 + 26i + 2iz + 2z + z2 = -2z + 2z + -1z2 + z2 Combine like terms: -2z + 2z = 0 7 + 26i + 2iz + 2z + z2 = 0 + -1z2 + z2 7 + 26i + 2iz + 2z + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 7 + 26i + 2iz + 2z + z2 = 0 The solution to this equation could not be determined.
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