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