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Simplifying In(x + -2) + in(2x + -1) = 2inx Reorder the terms: nI(-2 + x) + in(2x + -1) = 2inx (-2 * nI + x * nI) + in(2x + -1) = 2inx (-2nI + nxI) + in(2x + -1) = 2inx Reorder the terms: -2nI + nxI + in(-1 + 2x) = 2inx -2nI + nxI + (-1 * in + 2x * in) = 2inx -2nI + nxI + (-1in + 2inx) = 2inx Reorder the terms: -1in + 2inx + -2nI + nxI = 2inx Add '-2inx' to each side of the equation. -1in + 2inx + -2nI + -2inx + nxI = 2inx + -2inx Reorder the terms: -1in + 2inx + -2inx + -2nI + nxI = 2inx + -2inx Combine like terms: 2inx + -2inx = 0 -1in + 0 + -2nI + nxI = 2inx + -2inx -1in + -2nI + nxI = 2inx + -2inx Combine like terms: 2inx + -2inx = 0 -1in + -2nI + nxI = 0 Solving -1in + -2nI + nxI = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '2nI' to each side of the equation. -1in + -2nI + 2nI + nxI = 0 + 2nI Combine like terms: -2nI + 2nI = 0 -1in + 0 + nxI = 0 + 2nI -1in + nxI = 0 + 2nI Remove the zero: -1in + nxI = 2nI Add '-1nxI' to each side of the equation. -1in + nxI + -1nxI = 2nI + -1nxI Combine like terms: nxI + -1nxI = 0 -1in + 0 = 2nI + -1nxI -1in = 2nI + -1nxI Divide each side by '-1n'. i = -2I + xI Simplifying i = -2I + xI
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