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Simplifying (3 + i) * x = 11 + 7i Reorder the terms for easier multiplication: x(3 + i) = 11 + 7i (3 * x + i * x) = 11 + 7i Reorder the terms: (ix + 3x) = 11 + 7i (ix + 3x) = 11 + 7i Solving ix + 3x = 11 + 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. ix + -7i + 3x = 11 + 7i + -7i Reorder the terms: -7i + ix + 3x = 11 + 7i + -7i Combine like terms: 7i + -7i = 0 -7i + ix + 3x = 11 + 0 -7i + ix + 3x = 11 Add '-3x' to each side of the equation. -7i + ix + 3x + -3x = 11 + -3x Combine like terms: 3x + -3x = 0 -7i + ix + 0 = 11 + -3x -7i + ix = 11 + -3x Reorder the terms: -11 + -7i + ix + 3x = 11 + -3x + -11 + 3x Reorder the terms: -11 + -7i + ix + 3x = 11 + -11 + -3x + 3x Combine like terms: 11 + -11 = 0 -11 + -7i + ix + 3x = 0 + -3x + 3x -11 + -7i + ix + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 -11 + -7i + ix + 3x = 0 The solution to this equation could not be determined.
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