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Simplifying (x + yi)(3 + -4i) = 25 Reorder the terms: (iy + x)(3 + -4i) = 25 Multiply (iy + x) * (3 + -4i) (iy(3 + -4i) + x(3 + -4i)) = 25 ((3 * iy + -4i * iy) + x(3 + -4i)) = 25 ((3iy + -4i2y) + x(3 + -4i)) = 25 (3iy + -4i2y + (3 * x + -4i * x)) = 25 Reorder the terms: (3iy + -4i2y + (-4ix + 3x)) = 25 (3iy + -4i2y + (-4ix + 3x)) = 25 Reorder the terms: (-4ix + 3iy + -4i2y + 3x) = 25 (-4ix + 3iy + -4i2y + 3x) = 25 Solving -4ix + 3iy + -4i2y + 3x = 25 Solving for variable 'i'. Reorder the terms: -25 + -4ix + 3iy + -4i2y + 3x = 25 + -25 Combine like terms: 25 + -25 = 0 -25 + -4ix + 3iy + -4i2y + 3x = 0 The solution to this equation could not be determined.
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