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Simplifying z2 + -1(5 + 2) * z + (1 + i) = 0 Combine like terms: 5 + 2 = 7 z2 + -1(7) * z + (1 + i) = 0 Multiply -1 * 7 z2 + -7z + (1 + i) = 0 Remove parenthesis around (1 + i) z2 + -7z + 1 + i = 0 Reorder the terms: 1 + i + -7z + z2 = 0 Solving 1 + i + -7z + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + i + -7z + -1 + z2 = 0 + -1 Reorder the terms: 1 + -1 + i + -7z + z2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + i + -7z + z2 = 0 + -1 i + -7z + z2 = 0 + -1 Combine like terms: 0 + -1 = -1 i + -7z + z2 = -1 Add '7z' to each side of the equation. i + -7z + 7z + z2 = -1 + 7z Combine like terms: -7z + 7z = 0 i + 0 + z2 = -1 + 7z i + z2 = -1 + 7z Add '-1z2' to each side of the equation. i + z2 + -1z2 = -1 + 7z + -1z2 Combine like terms: z2 + -1z2 = 0 i + 0 = -1 + 7z + -1z2 i = -1 + 7z + -1z2 Simplifying i = -1 + 7z + -1z2
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