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Simplifying (3x + -2yi)(4 + 4i + -1) = 10(1 + i) Reorder the terms: (-2iy + 3x)(4 + 4i + -1) = 10(1 + i) Reorder the terms: (-2iy + 3x)(4 + -1 + 4i) = 10(1 + i) Combine like terms: 4 + -1 = 3 (-2iy + 3x)(3 + 4i) = 10(1 + i) Multiply (-2iy + 3x) * (3 + 4i) (-2iy * (3 + 4i) + 3x * (3 + 4i)) = 10(1 + i) ((3 * -2iy + 4i * -2iy) + 3x * (3 + 4i)) = 10(1 + i) ((-6iy + -8i2y) + 3x * (3 + 4i)) = 10(1 + i) (-6iy + -8i2y + (3 * 3x + 4i * 3x)) = 10(1 + i) Reorder the terms: (-6iy + -8i2y + (12ix + 9x)) = 10(1 + i) (-6iy + -8i2y + (12ix + 9x)) = 10(1 + i) Reorder the terms: (12ix + -6iy + -8i2y + 9x) = 10(1 + i) (12ix + -6iy + -8i2y + 9x) = 10(1 + i) 12ix + -6iy + -8i2y + 9x = (1 * 10 + i * 10) 12ix + -6iy + -8i2y + 9x = (10 + 10i) Solving 12ix + -6iy + -8i2y + 9x = 10 + 10i Solving for variable 'i'. Reorder the terms: -10 + -10i + 12ix + -6iy + -8i2y + 9x = 10 + 10i + -10 + -10i Reorder the terms: -10 + -10i + 12ix + -6iy + -8i2y + 9x = 10 + -10 + 10i + -10i Combine like terms: 10 + -10 = 0 -10 + -10i + 12ix + -6iy + -8i2y + 9x = 0 + 10i + -10i -10 + -10i + 12ix + -6iy + -8i2y + 9x = 10i + -10i Combine like terms: 10i + -10i = 0 -10 + -10i + 12ix + -6iy + -8i2y + 9x = 0 The solution to this equation could not be determined.
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