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Simplifying 8 + (x + 2y) * i = x + 4i Reorder the terms for easier multiplication: 8 + i(x + 2y) = x + 4i 8 + (x * i + 2y * i) = x + 4i 8 + (ix + 2iy) = x + 4i Reorder the terms: 8 + ix + 2iy = 4i + x Solving 8 + ix + 2iy = 4i + x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4i' to each side of the equation. 8 + ix + -4i + 2iy = 4i + -4i + x Reorder the terms: 8 + -4i + ix + 2iy = 4i + -4i + x Combine like terms: 4i + -4i = 0 8 + -4i + ix + 2iy = 0 + x 8 + -4i + ix + 2iy = x Add '-8' to each side of the equation. 8 + -4i + ix + -8 + 2iy = -8 + x Reorder the terms: 8 + -8 + -4i + ix + 2iy = -8 + x Combine like terms: 8 + -8 = 0 0 + -4i + ix + 2iy = -8 + x -4i + ix + 2iy = -8 + x Reorder the terms: 8 + -4i + ix + 2iy + -1x = -8 + x + 8 + -1x Reorder the terms: 8 + -4i + ix + 2iy + -1x = -8 + 8 + x + -1x Combine like terms: -8 + 8 = 0 8 + -4i + ix + 2iy + -1x = 0 + x + -1x 8 + -4i + ix + 2iy + -1x = x + -1x Combine like terms: x + -1x = 0 8 + -4i + ix + 2iy + -1x = 0 The solution to this equation could not be determined.
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