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