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