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Simplifying x2 + 3ix + 4 = 0 Reorder the terms: 4 + 3ix + x2 = 0 Solving 4 + 3ix + x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 3ix + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + 3ix + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3ix + x2 = 0 + -4 3ix + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 3ix + x2 = -4 Add '-1x2' to each side of the equation. 3ix + x2 + -1x2 = -4 + -1x2 Combine like terms: x2 + -1x2 = 0 3ix + 0 = -4 + -1x2 3ix = -4 + -1x2 Divide each side by '3x'. i = -1.333333333x-1 + -0.3333333333x Simplifying i = -1.333333333x-1 + -0.3333333333x
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