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Simplifying 2x + i(3y) = 4 + 6i Remove parenthesis around (3y) 2x + i * 3y = 4 + 6i Reorder the terms for easier multiplication: 2x + 3i * y = 4 + 6i Multiply i * y 2x + 3iy = 4 + 6i Reorder the terms: 3iy + 2x = 4 + 6i Solving 3iy + 2x = 4 + 6i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-6i' to each side of the equation. 3iy + -6i + 2x = 4 + 6i + -6i Reorder the terms: -6i + 3iy + 2x = 4 + 6i + -6i Combine like terms: 6i + -6i = 0 -6i + 3iy + 2x = 4 + 0 -6i + 3iy + 2x = 4 Add '-2x' to each side of the equation. -6i + 3iy + 2x + -2x = 4 + -2x Combine like terms: 2x + -2x = 0 -6i + 3iy + 0 = 4 + -2x -6i + 3iy = 4 + -2x Reorder the terms: -4 + -6i + 3iy + 2x = 4 + -2x + -4 + 2x Reorder the terms: -4 + -6i + 3iy + 2x = 4 + -4 + -2x + 2x Combine like terms: 4 + -4 = 0 -4 + -6i + 3iy + 2x = 0 + -2x + 2x -4 + -6i + 3iy + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 -4 + -6i + 3iy + 2x = 0 The solution to this equation could not be determined.
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