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Simplifying z2 + 3z + -5i = 0 Reorder the terms: -5i + 3z + z2 = 0 Solving -5i + 3z + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3z' to each side of the equation. -5i + 3z + -3z + z2 = 0 + -3z Combine like terms: 3z + -3z = 0 -5i + 0 + z2 = 0 + -3z -5i + z2 = 0 + -3z Remove the zero: -5i + z2 = -3z Add '-1z2' to each side of the equation. -5i + z2 + -1z2 = -3z + -1z2 Combine like terms: z2 + -1z2 = 0 -5i + 0 = -3z + -1z2 -5i = -3z + -1z2 Divide each side by '-5'. i = 0.6z + 0.2z2 Simplifying i = 0.6z + 0.2z2
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