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Simplifying (x2) + 3ix + 9 = 0 x2 + 3ix + 9 = 0 Reorder the terms: 9 + 3ix + x2 = 0 Solving 9 + 3ix + x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 3ix + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + 3ix + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 3ix + x2 = 0 + -9 3ix + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 3ix + x2 = -9 Add '-1x2' to each side of the equation. 3ix + x2 + -1x2 = -9 + -1x2 Combine like terms: x2 + -1x2 = 0 3ix + 0 = -9 + -1x2 3ix = -9 + -1x2 Divide each side by '3x'. i = -3x-1 + -0.3333333333x Simplifying i = -3x-1 + -0.3333333333x
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