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