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Simplifying 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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