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Simplifying x4 + 5.2 + 3i = 0 Reorder the terms: 5.2 + 3i + x4 = 0 Solving 5.2 + 3i + x4 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5.2' to each side of the equation. 5.2 + 3i + -5.2 + x4 = 0 + -5.2 Reorder the terms: 5.2 + -5.2 + 3i + x4 = 0 + -5.2 Combine like terms: 5.2 + -5.2 = 0.0 0.0 + 3i + x4 = 0 + -5.2 3i + x4 = 0 + -5.2 Combine like terms: 0 + -5.2 = -5.2 3i + x4 = -5.2 Add '-1x4' to each side of the equation. 3i + x4 + -1x4 = -5.2 + -1x4 Combine like terms: x4 + -1x4 = 0 3i + 0 = -5.2 + -1x4 3i = -5.2 + -1x4 Divide each side by '3'. i = -1.733333333 + -0.3333333333x4 Simplifying i = -1.733333333 + -0.3333333333x4
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