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Simplifying In(x + -3) + In(x + -3) = In(x + 2) Reorder the terms: nI(-3 + x) + In(x + -3) = In(x + 2) (-3 * nI + x * nI) + In(x + -3) = In(x + 2) (-3nI + nxI) + In(x + -3) = In(x + 2) Reorder the terms: -3nI + nxI + nI(-3 + x) = In(x + 2) -3nI + nxI + (-3 * nI + x * nI) = In(x + 2) -3nI + nxI + (-3nI + nxI) = In(x + 2) Reorder the terms: -3nI + -3nI + nxI + nxI = In(x + 2) Combine like terms: -3nI + -3nI = -6nI -6nI + nxI + nxI = In(x + 2) Combine like terms: nxI + nxI = 2nxI -6nI + 2nxI = In(x + 2) Reorder the terms: -6nI + 2nxI = nI(2 + x) -6nI + 2nxI = (2 * nI + x * nI) -6nI + 2nxI = (2nI + nxI) Solving -6nI + 2nxI = 2nI + nxI 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. -6nI + -2nI + 2nxI = 2nI + -2nI + nxI Combine like terms: -6nI + -2nI = -8nI -8nI + 2nxI = 2nI + -2nI + nxI Combine like terms: 2nI + -2nI = 0 -8nI + 2nxI = 0 + nxI -8nI + 2nxI = nxI Add '-1nxI' to each side of the equation. -8nI + 2nxI + -1nxI = nxI + -1nxI Combine like terms: 2nxI + -1nxI = 1nxI -8nI + 1nxI = nxI + -1nxI Combine like terms: nxI + -1nxI = 0 -8nI + 1nxI = 0 Factor out the Greatest Common Factor (GCF), 'nI'. nI(-8 + 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 '(-8 + x)' equal to zero and attempt to solve: Simplifying -8 + x = 0 Solving -8 + x = 0 Move all terms containing n to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x = 0 + 8 x = 0 + 8 Combine like terms: 0 + 8 = 8 x = 8 Add '-1x' to each side of the equation. x + -1x = 8 + -1x Combine like terms: x + -1x = 0 0 = 8 + -1x Simplifying 0 = 8 + -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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