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Simplifying (3 + 4i) * x2 = x + iy Reorder the terms for easier multiplication: x2(3 + 4i) = x + iy (3 * x2 + 4i * x2) = x + iy Reorder the terms: (4ix2 + 3x2) = x + iy (4ix2 + 3x2) = x + iy Reorder the terms: 4ix2 + 3x2 = iy + x Solving 4ix2 + 3x2 = iy + x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1iy' to each side of the equation. 4ix2 + -1iy + 3x2 = iy + -1iy + x Combine like terms: iy + -1iy = 0 4ix2 + -1iy + 3x2 = 0 + x 4ix2 + -1iy + 3x2 = x Add '-3x2' to each side of the equation. 4ix2 + -1iy + 3x2 + -3x2 = x + -3x2 Combine like terms: 3x2 + -3x2 = 0 4ix2 + -1iy + 0 = x + -3x2 4ix2 + -1iy = x + -3x2 Reorder the terms: 4ix2 + -1iy + -1x + 3x2 = x + -1x + -3x2 + 3x2 Combine like terms: x + -1x = 0 4ix2 + -1iy + -1x + 3x2 = 0 + -3x2 + 3x2 4ix2 + -1iy + -1x + 3x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 4ix2 + -1iy + -1x + 3x2 = 0 The solution to this equation could not be determined.
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