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Simplifying In(x + -3) + In(2x) = In(36) Reorder the terms: nI(-3 + x) + In(2x) = In(36) (-3 * nI + x * nI) + In(2x) = In(36) (-3nI + nxI) + In(2x) = In(36) Remove parenthesis around (2x) -3nI + nxI + nI * 2x = In(36) Reorder the terms for easier multiplication: -3nI + nxI + 2nI * x = In(36) Multiply nI * x -3nI + nxI + 2nxI = In(36) Combine like terms: nxI + 2nxI = 3nxI -3nI + 3nxI = In(36) Reorder the terms for easier multiplication: -3nI + 3nxI = 36nI Solving -3nI + 3nxI = 36nI Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-36nI' to each side of the equation. -3nI + -36nI + 3nxI = 36nI + -36nI Combine like terms: -3nI + -36nI = -39nI -39nI + 3nxI = 36nI + -36nI Combine like terms: 36nI + -36nI = 0 -39nI + 3nxI = 0 Factor out the Greatest Common Factor (GCF), '3nI'. 3nI(-13 + 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 '(-13 + x)' equal to zero and attempt to solve: Simplifying -13 + x = 0 Solving -13 + x = 0 Move all terms containing n to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + x = 0 + 13 x = 0 + 13 Combine like terms: 0 + 13 = 13 x = 13 Add '-1x' to each side of the equation. x + -1x = 13 + -1x Combine like terms: x + -1x = 0 0 = 13 + -1x Simplifying 0 = 13 + -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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