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Simplifying 3x2 + 6ix + -3 = 0 Reorder the terms: -3 + 6ix + 3x2 = 0 Solving -3 + 6ix + 3x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 6ix + 3 + 3x2 = 0 + 3 Reorder the terms: -3 + 3 + 6ix + 3x2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 6ix + 3x2 = 0 + 3 6ix + 3x2 = 0 + 3 Combine like terms: 0 + 3 = 3 6ix + 3x2 = 3 Add '-3x2' to each side of the equation. 6ix + 3x2 + -3x2 = 3 + -3x2 Combine like terms: 3x2 + -3x2 = 0 6ix + 0 = 3 + -3x2 6ix = 3 + -3x2 Divide each side by '6x'. i = 0.5x-1 + -0.5x Simplifying i = 0.5x-1 + -0.5x
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