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Simplifying 2x2 + 4x + 2ix + 3 = 0 Reorder the terms: 3 + 2ix + 4x + 2x2 = 0 Solving 3 + 2ix + 4x + 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 + 2ix + 4x + -3 + 2x2 = 0 + -3 Reorder the terms: 3 + -3 + 2ix + 4x + 2x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2ix + 4x + 2x2 = 0 + -3 2ix + 4x + 2x2 = 0 + -3 Combine like terms: 0 + -3 = -3 2ix + 4x + 2x2 = -3 Add '-4x' to each side of the equation. 2ix + 4x + -4x + 2x2 = -3 + -4x Combine like terms: 4x + -4x = 0 2ix + 0 + 2x2 = -3 + -4x 2ix + 2x2 = -3 + -4x Add '-2x2' to each side of the equation. 2ix + 2x2 + -2x2 = -3 + -4x + -2x2 Combine like terms: 2x2 + -2x2 = 0 2ix + 0 = -3 + -4x + -2x2 2ix = -3 + -4x + -2x2 Divide each side by '2x'. i = -1.5x-1 + -2 + -1x Simplifying i = -1.5x-1 + -2 + -1x Reorder the terms: i = -2 + -1.5x-1 + -1x
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