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Simplifying In(3x + -2) + in(x + 7) = 1 Reorder the terms: nI(-2 + 3x) + in(x + 7) = 1 (-2 * nI + 3x * nI) + in(x + 7) = 1 (-2nI + 3nxI) + in(x + 7) = 1 Reorder the terms: -2nI + 3nxI + in(7 + x) = 1 -2nI + 3nxI + (7 * in + x * in) = 1 -2nI + 3nxI + (7in + inx) = 1 Reorder the terms: 7in + inx + -2nI + 3nxI = 1 Solving 7in + inx + -2nI + 3nxI = 1 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. 7in + inx + -2nI + 2nI + 3nxI = 1 + 2nI Combine like terms: -2nI + 2nI = 0 7in + inx + 0 + 3nxI = 1 + 2nI 7in + inx + 3nxI = 1 + 2nI Add '-3nxI' to each side of the equation. 7in + inx + 3nxI + -3nxI = 1 + 2nI + -3nxI Combine like terms: 3nxI + -3nxI = 0 7in + inx + 0 = 1 + 2nI + -3nxI 7in + inx = 1 + 2nI + -3nxI Reorder the terms: -1 + 7in + inx + -2nI + 3nxI = 1 + 2nI + -3nxI + -1 + -2nI + 3nxI Reorder the terms: -1 + 7in + inx + -2nI + 3nxI = 1 + -1 + 2nI + -2nI + -3nxI + 3nxI Combine like terms: 1 + -1 = 0 -1 + 7in + inx + -2nI + 3nxI = 0 + 2nI + -2nI + -3nxI + 3nxI -1 + 7in + inx + -2nI + 3nxI = 2nI + -2nI + -3nxI + 3nxI Combine like terms: 2nI + -2nI = 0 -1 + 7in + inx + -2nI + 3nxI = 0 + -3nxI + 3nxI -1 + 7in + inx + -2nI + 3nxI = -3nxI + 3nxI Combine like terms: -3nxI + 3nxI = 0 -1 + 7in + inx + -2nI + 3nxI = 0 The solution to this equation could not be determined.
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