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Simplifying z2 + -5z + (5 + -3i) = 0 Remove parenthesis around (5 + -3i) z2 + -5z + 5 + -3i = 0 Reorder the terms: 5 + -3i + -5z + z2 = 0 Solving 5 + -3i + -5z + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -3i + -5z + -5 + z2 = 0 + -5 Reorder the terms: 5 + -5 + -3i + -5z + z2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3i + -5z + z2 = 0 + -5 -3i + -5z + z2 = 0 + -5 Combine like terms: 0 + -5 = -5 -3i + -5z + z2 = -5 Add '5z' to each side of the equation. -3i + -5z + 5z + z2 = -5 + 5z Combine like terms: -5z + 5z = 0 -3i + 0 + z2 = -5 + 5z -3i + z2 = -5 + 5z Add '-1z2' to each side of the equation. -3i + z2 + -1z2 = -5 + 5z + -1z2 Combine like terms: z2 + -1z2 = 0 -3i + 0 = -5 + 5z + -1z2 -3i = -5 + 5z + -1z2 Divide each side by '-3'. i = 1.666666667 + -1.666666667z + 0.3333333333z2 Simplifying i = 1.666666667 + -1.666666667z + 0.3333333333z2
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