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Simplifying x2 + 3ix + 5 = 0 Reorder the terms: 5 + 3ix + x2 = 0 Solving 5 + 3ix + x2 = 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 + 3ix + -5 + x2 = 0 + -5 Reorder the terms: 5 + -5 + 3ix + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3ix + x2 = 0 + -5 3ix + x2 = 0 + -5 Combine like terms: 0 + -5 = -5 3ix + x2 = -5 Add '-1x2' to each side of the equation. 3ix + x2 + -1x2 = -5 + -1x2 Combine like terms: x2 + -1x2 = 0 3ix + 0 = -5 + -1x2 3ix = -5 + -1x2 Divide each side by '3x'. i = -1.666666667x-1 + -0.3333333333x Simplifying i = -1.666666667x-1 + -0.3333333333x
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