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Simplifying (2 + 3i)(3x + -2yi) = -2i + 10i Reorder the terms: (2 + 3i)(-2iy + 3x) = -2i + 10i Multiply (2 + 3i) * (-2iy + 3x) (2(-2iy + 3x) + 3i * (-2iy + 3x)) = -2i + 10i ((-2iy * 2 + 3x * 2) + 3i * (-2iy + 3x)) = -2i + 10i ((-4iy + 6x) + 3i * (-2iy + 3x)) = -2i + 10i (-4iy + 6x + (-2iy * 3i + 3x * 3i)) = -2i + 10i Reorder the terms: (-4iy + 6x + (9ix + -6i2y)) = -2i + 10i (-4iy + 6x + (9ix + -6i2y)) = -2i + 10i Reorder the terms: (9ix + -4iy + -6i2y + 6x) = -2i + 10i (9ix + -4iy + -6i2y + 6x) = -2i + 10i Combine like terms: -2i + 10i = 8i 9ix + -4iy + -6i2y + 6x = 8i Solving 9ix + -4iy + -6i2y + 6x = 8i Solving for variable 'i'. Reorder the terms: -8i + 9ix + -4iy + -6i2y + 6x = 8i + -8i Combine like terms: 8i + -8i = 0 -8i + 9ix + -4iy + -6i2y + 6x = 0 The solution to this equation could not be determined.
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