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Simplifying z2 + -5z + (7 + i) = 0 Remove parenthesis around (7 + i) z2 + -5z + 7 + i = 0 Reorder the terms: 7 + i + -5z + z2 = 0 Solving 7 + i + -5z + 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 + i + -5z + -7 + z2 = 0 + -7 Reorder the terms: 7 + -7 + i + -5z + z2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + i + -5z + z2 = 0 + -7 i + -5z + z2 = 0 + -7 Combine like terms: 0 + -7 = -7 i + -5z + z2 = -7 Add '5z' to each side of the equation. i + -5z + 5z + z2 = -7 + 5z Combine like terms: -5z + 5z = 0 i + 0 + z2 = -7 + 5z i + z2 = -7 + 5z Add '-1z2' to each side of the equation. i + z2 + -1z2 = -7 + 5z + -1z2 Combine like terms: z2 + -1z2 = 0 i + 0 = -7 + 5z + -1z2 i = -7 + 5z + -1z2 Simplifying i = -7 + 5z + -1z2
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