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Simplifying 2x * 2 + 3ix + 2 = 0 Reorder the terms for easier multiplication: 2 * 2x + 3ix + 2 = 0 Multiply 2 * 2 4x + 3ix + 2 = 0 Reorder the terms: 2 + 3ix + 4x = 0 Solving 2 + 3ix + 4x = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 3ix + -2 + 4x = 0 + -2 Reorder the terms: 2 + -2 + 3ix + 4x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3ix + 4x = 0 + -2 3ix + 4x = 0 + -2 Combine like terms: 0 + -2 = -2 3ix + 4x = -2 Add '-4x' to each side of the equation. 3ix + 4x + -4x = -2 + -4x Combine like terms: 4x + -4x = 0 3ix + 0 = -2 + -4x 3ix = -2 + -4x Divide each side by '3x'. i = -0.6666666667x-1 + -1.333333333 Simplifying i = -0.6666666667x-1 + -1.333333333 Reorder the terms: i = -1.333333333 + -0.6666666667x-1
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