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Simplifying z2 + -4z + -3iz + 1 + 5I = 0 Reorder the terms: 1 + 5I + -3iz + -4z + z2 = 0 Solving 1 + 5I + -3iz + -4z + 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 + 5I + -3iz + -4z + -1 + z2 = 0 + -1 Reorder the terms: 1 + -1 + 5I + -3iz + -4z + z2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5I + -3iz + -4z + z2 = 0 + -1 5I + -3iz + -4z + z2 = 0 + -1 Combine like terms: 0 + -1 = -1 5I + -3iz + -4z + z2 = -1 Add '3iz' to each side of the equation. 5I + -3iz + -4z + 3iz + z2 = -1 + 3iz Reorder the terms: 5I + -3iz + 3iz + -4z + z2 = -1 + 3iz Combine like terms: -3iz + 3iz = 0 5I + 0 + -4z + z2 = -1 + 3iz 5I + -4z + z2 = -1 + 3iz Add '4z' to each side of the equation. 5I + -4z + 4z + z2 = -1 + 3iz + 4z Combine like terms: -4z + 4z = 0 5I + 0 + z2 = -1 + 3iz + 4z 5I + z2 = -1 + 3iz + 4z Add '-1z2' to each side of the equation. 5I + z2 + -1z2 = -1 + 3iz + 4z + -1z2 Combine like terms: z2 + -1z2 = 0 5I + 0 = -1 + 3iz + 4z + -1z2 5I = -1 + 3iz + 4z + -1z2 Divide each side by '5'. I = -0.2 + 0.6iz + 0.8z + -0.2z2 Simplifying I = -0.2 + 0.6iz + 0.8z + -0.2z2
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