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Simplifying 2In(x + -3) = In(x + 5) + In(4) Reorder the terms: 2nI(-3 + x) = In(x + 5) + In(4) (-3 * 2nI + x * 2nI) = In(x + 5) + In(4) (-6nI + 2nxI) = In(x + 5) + In(4) Reorder the terms: -6nI + 2nxI = nI(5 + x) + In(4) -6nI + 2nxI = (5 * nI + x * nI) + In(4) -6nI + 2nxI = (5nI + nxI) + In(4) Reorder the terms for easier multiplication: -6nI + 2nxI = 5nI + nxI + 4nI Reorder the terms: -6nI + 2nxI = 5nI + 4nI + nxI Combine like terms: 5nI + 4nI = 9nI -6nI + 2nxI = 9nI + nxI Solving -6nI + 2nxI = 9nI + nxI Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9nI' to each side of the equation. -6nI + -9nI + 2nxI = 9nI + -9nI + nxI Combine like terms: -6nI + -9nI = -15nI -15nI + 2nxI = 9nI + -9nI + nxI Combine like terms: 9nI + -9nI = 0 -15nI + 2nxI = 0 + nxI -15nI + 2nxI = nxI Add '-1nxI' to each side of the equation. -15nI + 2nxI + -1nxI = nxI + -1nxI Combine like terms: 2nxI + -1nxI = 1nxI -15nI + 1nxI = nxI + -1nxI Combine like terms: nxI + -1nxI = 0 -15nI + 1nxI = 0 Factor out the Greatest Common Factor (GCF), 'nI'. nI(-15 + 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 '(-15 + x)' equal to zero and attempt to solve: Simplifying -15 + x = 0 Solving -15 + x = 0 Move all terms containing n to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + x = 0 + 15 x = 0 + 15 Combine like terms: 0 + 15 = 15 x = 15 Add '-1x' to each side of the equation. x + -1x = 15 + -1x Combine like terms: x + -1x = 0 0 = 15 + -1x Simplifying 0 = 15 + -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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