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Simplifying In(x + 1) + in(x) = (3x + 15) Reorder the terms: nI(1 + x) + in(x) = (3x + 15) (1 * nI + x * nI) + in(x) = (3x + 15) (1nI + nxI) + in(x) = (3x + 15) Multiply in * x 1nI + nxI + inx = (3x + 15) Reorder the terms: inx + 1nI + nxI = (3x + 15) Reorder the terms: inx + 1nI + nxI = (15 + 3x) Remove parenthesis around (15 + 3x) inx + 1nI + nxI = 15 + 3x Solving inx + 1nI + nxI = 15 + 3x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1nI' to each side of the equation. inx + 1nI + -1nI + nxI = 15 + -1nI + 3x Combine like terms: 1nI + -1nI = 0 inx + 0 + nxI = 15 + -1nI + 3x inx + nxI = 15 + -1nI + 3x Add '-1nxI' to each side of the equation. inx + nxI + -1nxI = 15 + -1nI + -1nxI + 3x Combine like terms: nxI + -1nxI = 0 inx + 0 = 15 + -1nI + -1nxI + 3x inx = 15 + -1nI + -1nxI + 3x Divide each side by 'nx'. i = 15n-1x-1 + -1x-1I + -1I + 3n-1 Simplifying i = 15n-1x-1 + -1x-1I + -1I + 3n-1 Reorder the terms: i = -1I + 3n-1 + 15n-1x-1 + -1x-1I
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