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Simplifying In(x) + in(4x) = 2 Multiply nI * x nxI + in(4x) = 2 Remove parenthesis around (4x) nxI + in * 4x = 2 Reorder the terms for easier multiplication: nxI + 4in * x = 2 Multiply in * x nxI + 4inx = 2 Reorder the terms: 4inx + nxI = 2 Solving 4inx + nxI = 2 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1nxI' to each side of the equation. 4inx + nxI + -1nxI = 2 + -1nxI Combine like terms: nxI + -1nxI = 0 4inx + 0 = 2 + -1nxI 4inx = 2 + -1nxI Divide each side by '4nx'. i = 0.5n-1x-1 + -0.25I Simplifying i = 0.5n-1x-1 + -0.25I Reorder the terms: i = -0.25I + 0.5n-1x-1
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