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Simplifying (6x + -1iy)(3 + -2i) = 10(3 + 4i) Reorder the terms: (-1iy + 6x)(3 + -2i) = 10(3 + 4i) Multiply (-1iy + 6x) * (3 + -2i) (-1iy * (3 + -2i) + 6x * (3 + -2i)) = 10(3 + 4i) ((3 * -1iy + -2i * -1iy) + 6x * (3 + -2i)) = 10(3 + 4i) ((-3iy + 2i2y) + 6x * (3 + -2i)) = 10(3 + 4i) (-3iy + 2i2y + (3 * 6x + -2i * 6x)) = 10(3 + 4i) Reorder the terms: (-3iy + 2i2y + (-12ix + 18x)) = 10(3 + 4i) (-3iy + 2i2y + (-12ix + 18x)) = 10(3 + 4i) Reorder the terms: (-12ix + -3iy + 2i2y + 18x) = 10(3 + 4i) (-12ix + -3iy + 2i2y + 18x) = 10(3 + 4i) -12ix + -3iy + 2i2y + 18x = (3 * 10 + 4i * 10) -12ix + -3iy + 2i2y + 18x = (30 + 40i) Solving -12ix + -3iy + 2i2y + 18x = 30 + 40i Solving for variable 'i'. Reorder the terms: -30 + -40i + -12ix + -3iy + 2i2y + 18x = 30 + 40i + -30 + -40i Reorder the terms: -30 + -40i + -12ix + -3iy + 2i2y + 18x = 30 + -30 + 40i + -40i Combine like terms: 30 + -30 = 0 -30 + -40i + -12ix + -3iy + 2i2y + 18x = 0 + 40i + -40i -30 + -40i + -12ix + -3iy + 2i2y + 18x = 40i + -40i Combine like terms: 40i + -40i = 0 -30 + -40i + -12ix + -3iy + 2i2y + 18x = 0 The solution to this equation could not be determined.
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