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Simplifying In(4x + -7) = In(x + 11) Reorder the terms: nI(-7 + 4x) = In(x + 11) (-7 * nI + 4x * nI) = In(x + 11) (-7nI + 4nxI) = In(x + 11) Reorder the terms: -7nI + 4nxI = nI(11 + x) -7nI + 4nxI = (11 * nI + x * nI) -7nI + 4nxI = (11nI + nxI) Solving -7nI + 4nxI = 11nI + nxI Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11nI' to each side of the equation. -7nI + -11nI + 4nxI = 11nI + -11nI + nxI Combine like terms: -7nI + -11nI = -18nI -18nI + 4nxI = 11nI + -11nI + nxI Combine like terms: 11nI + -11nI = 0 -18nI + 4nxI = 0 + nxI -18nI + 4nxI = nxI Add '-1nxI' to each side of the equation. -18nI + 4nxI + -1nxI = nxI + -1nxI Combine like terms: 4nxI + -1nxI = 3nxI -18nI + 3nxI = nxI + -1nxI Combine like terms: nxI + -1nxI = 0 -18nI + 3nxI = 0 Factor out the Greatest Common Factor (GCF), '3nI'. 3nI(-6 + x) = 0 Ignore the factor 3.Subproblem 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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