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Simplifying In(x + 4) + In(x) = In(x + 40) Reorder the terms: nI(4 + x) + In(x) = In(x + 40) (4 * nI + x * nI) + In(x) = In(x + 40) (4nI + nxI) + In(x) = In(x + 40) Multiply nI * x 4nI + nxI + nxI = In(x + 40) Combine like terms: nxI + nxI = 2nxI 4nI + 2nxI = In(x + 40) Reorder the terms: 4nI + 2nxI = nI(40 + x) 4nI + 2nxI = (40 * nI + x * nI) 4nI + 2nxI = (40nI + nxI) Solving 4nI + 2nxI = 40nI + nxI Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40nI' to each side of the equation. 4nI + -40nI + 2nxI = 40nI + -40nI + nxI Combine like terms: 4nI + -40nI = -36nI -36nI + 2nxI = 40nI + -40nI + nxI Combine like terms: 40nI + -40nI = 0 -36nI + 2nxI = 0 + nxI -36nI + 2nxI = nxI Add '-1nxI' to each side of the equation. -36nI + 2nxI + -1nxI = nxI + -1nxI Combine like terms: 2nxI + -1nxI = 1nxI -36nI + 1nxI = nxI + -1nxI Combine like terms: nxI + -1nxI = 0 -36nI + 1nxI = 0 Factor out the Greatest Common Factor (GCF), 'nI'. nI(-36 + 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 '(-36 + x)' equal to zero and attempt to solve: Simplifying -36 + x = 0 Solving -36 + x = 0 Move all terms containing n to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + x = 0 + 36 x = 0 + 36 Combine like terms: 0 + 36 = 36 x = 36 Add '-1x' to each side of the equation. x + -1x = 36 + -1x Combine like terms: x + -1x = 0 0 = 36 + -1x Simplifying 0 = 36 + -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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