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Simplifying (2 + 3i) * x + (5y + -2i)(3 + -1i) = 3x + -4i Reorder the terms for easier multiplication: x(2 + 3i) + (5y + -2i)(3 + -1i) = 3x + -4i (2 * x + 3i * x) + (5y + -2i)(3 + -1i) = 3x + -4i Reorder the terms: (3ix + 2x) + (5y + -2i)(3 + -1i) = 3x + -4i (3ix + 2x) + (5y + -2i)(3 + -1i) = 3x + -4i Reorder the terms: 3ix + 2x + (-2i + 5y)(3 + -1i) = 3x + -4i Multiply (-2i + 5y) * (3 + -1i) 3ix + 2x + (-2i * (3 + -1i) + 5y * (3 + -1i)) = 3x + -4i 3ix + 2x + ((3 * -2i + -1i * -2i) + 5y * (3 + -1i)) = 3x + -4i 3ix + 2x + ((-6i + 2i2) + 5y * (3 + -1i)) = 3x + -4i 3ix + 2x + (-6i + 2i2 + (3 * 5y + -1i * 5y)) = 3x + -4i Reorder the terms: 3ix + 2x + (-6i + 2i2 + (-5iy + 15y)) = 3x + -4i 3ix + 2x + (-6i + 2i2 + (-5iy + 15y)) = 3x + -4i Reorder the terms: 3ix + 2x + (-6i + -5iy + 2i2 + 15y) = 3x + -4i 3ix + 2x + (-6i + -5iy + 2i2 + 15y) = 3x + -4i Reorder the terms: -6i + 3ix + -5iy + 2i2 + 2x + 15y = 3x + -4i Reorder the terms: -6i + 3ix + -5iy + 2i2 + 2x + 15y = -4i + 3x Solving -6i + 3ix + -5iy + 2i2 + 2x + 15y = -4i + 3x Solving for variable 'i'. Reorder the terms: -6i + 4i + 3ix + -5iy + 2i2 + 2x + -3x + 15y = -4i + 3x + 4i + -3x Combine like terms: -6i + 4i = -2i -2i + 3ix + -5iy + 2i2 + 2x + -3x + 15y = -4i + 3x + 4i + -3x Combine like terms: 2x + -3x = -1x -2i + 3ix + -5iy + 2i2 + -1x + 15y = -4i + 3x + 4i + -3x Reorder the terms: -2i + 3ix + -5iy + 2i2 + -1x + 15y = -4i + 4i + 3x + -3x Combine like terms: -4i + 4i = 0 -2i + 3ix + -5iy + 2i2 + -1x + 15y = 0 + 3x + -3x -2i + 3ix + -5iy + 2i2 + -1x + 15y = 3x + -3x Combine like terms: 3x + -3x = 0 -2i + 3ix + -5iy + 2i2 + -1x + 15y = 0 The solution to this equation could not be determined.
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