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Simplifying In(x) + In(x + 3) = In(x + -4) Multiply nI * x nxI + In(x + 3) = In(x + -4) Reorder the terms: nxI + nI(3 + x) = In(x + -4) nxI + (3 * nI + x * nI) = In(x + -4) nxI + (3nI + nxI) = In(x + -4) Reorder the terms: 3nI + nxI + nxI = In(x + -4) Combine like terms: nxI + nxI = 2nxI 3nI + 2nxI = In(x + -4) Reorder the terms: 3nI + 2nxI = nI(-4 + x) 3nI + 2nxI = (-4 * nI + x * nI) 3nI + 2nxI = (-4nI + nxI) Solving 3nI + 2nxI = -4nI + nxI Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4nI' to each side of the equation. 3nI + 4nI + 2nxI = -4nI + 4nI + nxI Combine like terms: 3nI + 4nI = 7nI 7nI + 2nxI = -4nI + 4nI + nxI Combine like terms: -4nI + 4nI = 0 7nI + 2nxI = 0 + nxI 7nI + 2nxI = nxI Add '-1nxI' to each side of the equation. 7nI + 2nxI + -1nxI = nxI + -1nxI Combine like terms: 2nxI + -1nxI = 1nxI 7nI + 1nxI = nxI + -1nxI Combine like terms: nxI + -1nxI = 0 7nI + 1nxI = 0 Factor out the Greatest Common Factor (GCF), 'nI'. nI(7 + x) = 0Subproblem 1
Set the factor 'nI' equal to zero and attempt to solve: Simplifying nI = 0 Solving nI = 0 Move all terms containing n to the left, all other terms to the right. Simplifying nI = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Add '-1x' to each side of the equation. x + -1x = -7 + -1x Combine like terms: x + -1x = 0 0 = -7 + -1x Simplifying 0 = -7 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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