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Simplifying 2(x + i * y) = 6 + -1i * 3 Multiply i * y 2(x + iy) = 6 + -1i * 3 Reorder the terms: 2(iy + x) = 6 + -1i * 3 (iy * 2 + x * 2) = 6 + -1i * 3 (2iy + 2x) = 6 + -1i * 3 Reorder the terms for easier multiplication: 2iy + 2x = 6 + -1 * 3i Multiply -1 * 3 2iy + 2x = 6 + -3i Solving 2iy + 2x = 6 + -3i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '3i' to each side of the equation. 2iy + 3i + 2x = 6 + -3i + 3i Reorder the terms: 3i + 2iy + 2x = 6 + -3i + 3i Combine like terms: -3i + 3i = 0 3i + 2iy + 2x = 6 + 0 3i + 2iy + 2x = 6 Add '-2x' to each side of the equation. 3i + 2iy + 2x + -2x = 6 + -2x Combine like terms: 2x + -2x = 0 3i + 2iy + 0 = 6 + -2x 3i + 2iy = 6 + -2x Reorder the terms: -6 + 3i + 2iy + 2x = 6 + -2x + -6 + 2x Reorder the terms: -6 + 3i + 2iy + 2x = 6 + -6 + -2x + 2x Combine like terms: 6 + -6 = 0 -6 + 3i + 2iy + 2x = 0 + -2x + 2x -6 + 3i + 2iy + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 3i + 2iy + 2x = 0 The solution to this equation could not be determined.
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