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