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Simplifying (2x2 + 3)(y + 2x) * i = -1x + 5i Reorder the terms: (3 + 2x2)(y + 2x) * i = -1x + 5i Reorder the terms: (3 + 2x2)(2x + y) * i = -1x + 5i Reorder the terms for easier multiplication: i(3 + 2x2)(2x + y) = -1x + 5i Multiply (3 + 2x2) * (2x + y) i(3(2x + y) + 2x2 * (2x + y)) = -1x + 5i i((2x * 3 + y * 3) + 2x2 * (2x + y)) = -1x + 5i i((6x + 3y) + 2x2 * (2x + y)) = -1x + 5i i(6x + 3y + (2x * 2x2 + y * 2x2)) = -1x + 5i Reorder the terms: i(6x + 3y + (2x2y + 4x3)) = -1x + 5i i(6x + 3y + (2x2y + 4x3)) = -1x + 5i Reorder the terms: i(6x + 2x2y + 4x3 + 3y) = -1x + 5i i(6x + 2x2y + 4x3 + 3y) = -1x + 5i (6x * i + 2x2y * i + 4x3 * i + 3y * i) = -1x + 5i (6ix + 2ix2y + 4ix3 + 3iy) = -1x + 5i Reorder the terms: 6ix + 2ix2y + 4ix3 + 3iy = 5i + -1x Solving 6ix + 2ix2y + 4ix3 + 3iy = 5i + -1x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5i' to each side of the equation. 6ix + 2ix2y + 4ix3 + -5i + 3iy = 5i + -5i + -1x Reorder the terms: -5i + 6ix + 2ix2y + 4ix3 + 3iy = 5i + -5i + -1x Combine like terms: 5i + -5i = 0 -5i + 6ix + 2ix2y + 4ix3 + 3iy = 0 + -1x -5i + 6ix + 2ix2y + 4ix3 + 3iy = -1x Combine like terms: -1x + x = 0 -5i + 6ix + 2ix2y + 4ix3 + 3iy + x = 0 The solution to this equation could not be determined.
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