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Simplifying 2x + (3y + 1) * i = 6 + -8i Reorder the terms: 2x + (1 + 3y) * i = 6 + -8i Reorder the terms for easier multiplication: 2x + i(1 + 3y) = 6 + -8i 2x + (1 * i + 3y * i) = 6 + -8i 2x + (1i + 3iy) = 6 + -8i Reorder the terms: 1i + 3iy + 2x = 6 + -8i Solving 1i + 3iy + 2x = 6 + -8i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '8i' to each side of the equation. 1i + 3iy + 8i + 2x = 6 + -8i + 8i Reorder the terms: 1i + 8i + 3iy + 2x = 6 + -8i + 8i Combine like terms: 1i + 8i = 9i 9i + 3iy + 2x = 6 + -8i + 8i Combine like terms: -8i + 8i = 0 9i + 3iy + 2x = 6 + 0 9i + 3iy + 2x = 6 Add '-2x' to each side of the equation. 9i + 3iy + 2x + -2x = 6 + -2x Combine like terms: 2x + -2x = 0 9i + 3iy + 0 = 6 + -2x 9i + 3iy = 6 + -2x Reorder the terms: -6 + 9i + 3iy + 2x = 6 + -2x + -6 + 2x Reorder the terms: -6 + 9i + 3iy + 2x = 6 + -6 + -2x + 2x Combine like terms: 6 + -6 = 0 -6 + 9i + 3iy + 2x = 0 + -2x + 2x -6 + 9i + 3iy + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 9i + 3iy + 2x = 0 The solution to this equation could not be determined.
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