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Simplifying (x + 6i) = (3 + -1i) + (4 + -2yi) Reorder the terms: (6i + x) = (3 + -1i) + (4 + -2yi) Remove parenthesis around (6i + x) 6i + x = (3 + -1i) + (4 + -2yi) Remove parenthesis around (3 + -1i) 6i + x = 3 + -1i + (4 + -2yi) Remove parenthesis around (4 + -2iy) 6i + x = 3 + -1i + 4 + -2iy Reorder the terms: 6i + x = 3 + 4 + -1i + -2iy Combine like terms: 3 + 4 = 7 6i + x = 7 + -1i + -2iy Solving 6i + x = 7 + -1i + -2iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add 'i' to each side of the equation. 6i + i + x = 7 + -1i + i + -2iy Combine like terms: 6i + i = 7i 7i + x = 7 + -1i + i + -2iy Combine like terms: -1i + i = 0 7i + x = 7 + 0 + -2iy 7i + x = 7 + -2iy Add '2iy' to each side of the equation. 7i + 2iy + x = 7 + -2iy + 2iy Combine like terms: -2iy + 2iy = 0 7i + 2iy + x = 7 + 0 7i + 2iy + x = 7 Add '-1x' to each side of the equation. 7i + 2iy + x + -1x = 7 + -1x Combine like terms: x + -1x = 0 7i + 2iy + 0 = 7 + -1x 7i + 2iy = 7 + -1x Reorder the terms: -7 + 7i + 2iy + x = 7 + -1x + -7 + x Reorder the terms: -7 + 7i + 2iy + x = 7 + -7 + -1x + x Combine like terms: 7 + -7 = 0 -7 + 7i + 2iy + x = 0 + -1x + x -7 + 7i + 2iy + x = -1x + x Combine like terms: -1x + x = 0 -7 + 7i + 2iy + x = 0 The solution to this equation could not be determined.
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