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Simplifying (2 + i) * x + -1i = 5 + i Reorder the terms for easier multiplication: x(2 + i) + -1i = 5 + i (2 * x + i * x) + -1i = 5 + i Reorder the terms: (ix + 2x) + -1i = 5 + i (ix + 2x) + -1i = 5 + i Reorder the terms: -1i + ix + 2x = 5 + i Solving -1i + ix + 2x = 5 + 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. -1i + ix + -1i + 2x = 5 + i + -1i Reorder the terms: -1i + -1i + ix + 2x = 5 + i + -1i Combine like terms: -1i + -1i = -2i -2i + ix + 2x = 5 + i + -1i Combine like terms: i + -1i = 0 -2i + ix + 2x = 5 + 0 -2i + ix + 2x = 5 Add '-2x' to each side of the equation. -2i + ix + 2x + -2x = 5 + -2x Combine like terms: 2x + -2x = 0 -2i + ix + 0 = 5 + -2x -2i + ix = 5 + -2x Reorder the terms: -5 + -2i + ix + 2x = 5 + -2x + -5 + 2x Reorder the terms: -5 + -2i + ix + 2x = 5 + -5 + -2x + 2x Combine like terms: 5 + -5 = 0 -5 + -2i + ix + 2x = 0 + -2x + 2x -5 + -2i + ix + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 -5 + -2i + ix + 2x = 0 The solution to this equation could not be determined.
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