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Simplifying z2 + -7z + (13 + -1i) = 0 Remove parenthesis around (13 + -1i) z2 + -7z + 13 + -1i = 0 Reorder the terms: 13 + -1i + -7z + z2 = 0 Solving 13 + -1i + -7z + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -1i + -7z + -13 + z2 = 0 + -13 Reorder the terms: 13 + -13 + -1i + -7z + z2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1i + -7z + z2 = 0 + -13 -1i + -7z + z2 = 0 + -13 Combine like terms: 0 + -13 = -13 -1i + -7z + z2 = -13 Add '7z' to each side of the equation. -1i + -7z + 7z + z2 = -13 + 7z Combine like terms: -7z + 7z = 0 -1i + 0 + z2 = -13 + 7z -1i + z2 = -13 + 7z Add '-1z2' to each side of the equation. -1i + z2 + -1z2 = -13 + 7z + -1z2 Combine like terms: z2 + -1z2 = 0 -1i + 0 = -13 + 7z + -1z2 -1i = -13 + 7z + -1z2 Divide each side by '-1'. i = 13 + -7z + z2 Simplifying i = 13 + -7z + z2
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