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Simplifying In(x + -2) = -1In(5x) + In(15) Reorder the terms: nI(-2 + x) = -1In(5x) + In(15) (-2 * nI + x * nI) = -1In(5x) + In(15) (-2nI + nxI) = -1In(5x) + In(15) Remove parenthesis around (5x) -2nI + nxI = -1nI * 5x + In(15) Reorder the terms for easier multiplication: -2nI + nxI = -1 * 5nI * x + In(15) Multiply -1 * 5 -2nI + nxI = -5nI * x + In(15) Multiply nI * x -2nI + nxI = -5nxI + In(15) Reorder the terms for easier multiplication: -2nI + nxI = -5nxI + 15nI Reorder the terms: -2nI + nxI = 15nI + -5nxI Solving -2nI + nxI = 15nI + -5nxI Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15nI' to each side of the equation. -2nI + -15nI + nxI = 15nI + -15nI + -5nxI Combine like terms: -2nI + -15nI = -17nI -17nI + nxI = 15nI + -15nI + -5nxI Combine like terms: 15nI + -15nI = 0 -17nI + nxI = 0 + -5nxI -17nI + nxI = -5nxI Add '5nxI' to each side of the equation. -17nI + nxI + 5nxI = -5nxI + 5nxI Combine like terms: nxI + 5nxI = 6nxI -17nI + 6nxI = -5nxI + 5nxI Combine like terms: -5nxI + 5nxI = 0 -17nI + 6nxI = 0 Factor out the Greatest Common Factor (GCF), 'nI'. nI(-17 + 6x) = 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 '(-17 + 6x)' equal to zero and attempt to solve: Simplifying -17 + 6x = 0 Solving -17 + 6x = 0 Move all terms containing n to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 6x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 6x = 0 + 17 6x = 0 + 17 Combine like terms: 0 + 17 = 17 6x = 17 Add '-6x' to each side of the equation. 6x + -6x = 17 + -6x Combine like terms: 6x + -6x = 0 0 = 17 + -6x Simplifying 0 = 17 + -6x 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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