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Simplifying In(x + 8) = In(x + 7) + -1In(x + -7) Reorder the terms: nI(8 + x) = In(x + 7) + -1In(x + -7) (8 * nI + x * nI) = In(x + 7) + -1In(x + -7) (8nI + nxI) = In(x + 7) + -1In(x + -7) Reorder the terms: 8nI + nxI = nI(7 + x) + -1In(x + -7) 8nI + nxI = (7 * nI + x * nI) + -1In(x + -7) 8nI + nxI = (7nI + nxI) + -1In(x + -7) Reorder the terms: 8nI + nxI = 7nI + nxI + -1nI(-7 + x) 8nI + nxI = 7nI + nxI + (-7 * -1nI + x * -1nI) 8nI + nxI = 7nI + nxI + (7nI + -1nxI) Reorder the terms: 8nI + nxI = 7nI + 7nI + nxI + -1nxI Combine like terms: 7nI + 7nI = 14nI 8nI + nxI = 14nI + nxI + -1nxI Combine like terms: nxI + -1nxI = 0 8nI + nxI = 14nI + 0 8nI + nxI = 14nI Solving 8nI + nxI = 14nI Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14nI' to each side of the equation. 8nI + -14nI + nxI = 14nI + -14nI Combine like terms: 8nI + -14nI = -6nI -6nI + nxI = 14nI + -14nI Combine like terms: 14nI + -14nI = 0 -6nI + nxI = 0 Factor out the Greatest Common Factor (GCF), 'nI'. nI(-6 + 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 '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing n to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Add '-1x' to each side of the equation. x + -1x = 6 + -1x Combine like terms: x + -1x = 0 0 = 6 + -1x Simplifying 0 = 6 + -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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