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Simplifying 3x2 + -2ix + 9 = 0 Reorder the terms: 9 + -2ix + 3x2 = 0 Solving 9 + -2ix + 3x2 = 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 + -2ix + -9 + 3x2 = 0 + -9 Reorder the terms: 9 + -9 + -2ix + 3x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2ix + 3x2 = 0 + -9 -2ix + 3x2 = 0 + -9 Combine like terms: 0 + -9 = -9 -2ix + 3x2 = -9 Add '-3x2' to each side of the equation. -2ix + 3x2 + -3x2 = -9 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -2ix + 0 = -9 + -3x2 -2ix = -9 + -3x2 Divide each side by '-2x'. i = 4.5x-1 + 1.5x Simplifying i = 4.5x-1 + 1.5x
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