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Simplifying 3x + 2y + i(3y + 2x) = 0 Reorder the terms: 3x + 2y + i(2x + 3y) = 0 3x + 2y + (2x * i + 3y * i) = 0 3x + 2y + (2ix + 3iy) = 0 Reorder the terms: 2ix + 3iy + 3x + 2y = 0 Solving 2ix + 3iy + 3x + 2y = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3x' to each side of the equation. 2ix + 3iy + 3x + -3x + 2y = 0 + -3x Combine like terms: 3x + -3x = 0 2ix + 3iy + 0 + 2y = 0 + -3x 2ix + 3iy + 2y = 0 + -3x Remove the zero: 2ix + 3iy + 2y = -3x Add '-2y' to each side of the equation. 2ix + 3iy + 2y + -2y = -3x + -2y Combine like terms: 2y + -2y = 0 2ix + 3iy + 0 = -3x + -2y 2ix + 3iy = -3x + -2y Reorder the terms: 2ix + 3iy + 3x + 2y = -3x + 3x + -2y + 2y Combine like terms: -3x + 3x = 0 2ix + 3iy + 3x + 2y = 0 + -2y + 2y 2ix + 3iy + 3x + 2y = -2y + 2y Combine like terms: -2y + 2y = 0 2ix + 3iy + 3x + 2y = 0 The solution to this equation could not be determined.
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