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Simplifying In(x + 3) + In(x + 5) = Inx + In(x + -2) Reorder the terms: nI(3 + x) + In(x + 5) = Inx + In(x + -2) (3 * nI + x * nI) + In(x + 5) = Inx + In(x + -2) (3nI + nxI) + In(x + 5) = Inx + In(x + -2) Reorder the terms: 3nI + nxI + nI(5 + x) = Inx + In(x + -2) 3nI + nxI + (5 * nI + x * nI) = Inx + In(x + -2) 3nI + nxI + (5nI + nxI) = Inx + In(x + -2) Reorder the terms: 3nI + 5nI + nxI + nxI = Inx + In(x + -2) Combine like terms: 3nI + 5nI = 8nI 8nI + nxI + nxI = Inx + In(x + -2) Combine like terms: nxI + nxI = 2nxI 8nI + 2nxI = Inx + In(x + -2) Reorder the terms: 8nI + 2nxI = nxI + nI(-2 + x) 8nI + 2nxI = nxI + (-2 * nI + x * nI) 8nI + 2nxI = nxI + (-2nI + nxI) Reorder the terms: 8nI + 2nxI = -2nI + nxI + nxI Combine like terms: nxI + nxI = 2nxI 8nI + 2nxI = -2nI + 2nxI Add '-2nxI' to each side of the equation. 8nI + 2nxI + -2nxI = -2nI + 2nxI + -2nxI Combine like terms: 2nxI + -2nxI = 0 8nI + 0 = -2nI + 2nxI + -2nxI 8nI = -2nI + 2nxI + -2nxI Combine like terms: 2nxI + -2nxI = 0 8nI = -2nI + 0 8nI = -2nI Solving 8nI = -2nI Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2nI' to each side of the equation. 8nI + 2nI = -2nI + 2nI Combine like terms: 8nI + 2nI = 10nI 10nI = -2nI + 2nI Combine like terms: -2nI + 2nI = 0 10nI = 0 Divide each side by '10'. nI = 0.0 Simplifying nI = 0.0 The solution to this equation could not be determined.
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