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Simplifying (2 + 3yi) + (5x + 6i) = 14 + 9i Remove parenthesis around (2 + 3iy) 2 + 3iy + (5x + 6i) = 14 + 9i Reorder the terms: 2 + 3iy + (6i + 5x) = 14 + 9i Remove parenthesis around (6i + 5x) 2 + 3iy + 6i + 5x = 14 + 9i Reorder the terms: 2 + 6i + 3iy + 5x = 14 + 9i Solving 2 + 6i + 3iy + 5x = 14 + 9i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-9i' to each side of the equation. 2 + 6i + 3iy + -9i + 5x = 14 + 9i + -9i Reorder the terms: 2 + 6i + -9i + 3iy + 5x = 14 + 9i + -9i Combine like terms: 6i + -9i = -3i 2 + -3i + 3iy + 5x = 14 + 9i + -9i Combine like terms: 9i + -9i = 0 2 + -3i + 3iy + 5x = 14 + 0 2 + -3i + 3iy + 5x = 14 Add '-2' to each side of the equation. 2 + -3i + 3iy + -2 + 5x = 14 + -2 Reorder the terms: 2 + -2 + -3i + 3iy + 5x = 14 + -2 Combine like terms: 2 + -2 = 0 0 + -3i + 3iy + 5x = 14 + -2 -3i + 3iy + 5x = 14 + -2 Combine like terms: 14 + -2 = 12 -3i + 3iy + 5x = 12 Add '-5x' to each side of the equation. -3i + 3iy + 5x + -5x = 12 + -5x Combine like terms: 5x + -5x = 0 -3i + 3iy + 0 = 12 + -5x -3i + 3iy = 12 + -5x Reorder the terms: -12 + -3i + 3iy + 5x = 12 + -5x + -12 + 5x Reorder the terms: -12 + -3i + 3iy + 5x = 12 + -12 + -5x + 5x Combine like terms: 12 + -12 = 0 -12 + -3i + 3iy + 5x = 0 + -5x + 5x -12 + -3i + 3iy + 5x = -5x + 5x Combine like terms: -5x + 5x = 0 -12 + -3i + 3iy + 5x = 0 The solution to this equation could not be determined.
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