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