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Simplifying In(x + -6) + In(x + 1) = In(x + -15) Reorder the terms: nI(-6 + x) + In(x + 1) = In(x + -15) (-6 * nI + x * nI) + In(x + 1) = In(x + -15) (-6nI + nxI) + In(x + 1) = In(x + -15) Reorder the terms: -6nI + nxI + nI(1 + x) = In(x + -15) -6nI + nxI + (1 * nI + x * nI) = In(x + -15) -6nI + nxI + (1nI + nxI) = In(x + -15) Reorder the terms: -6nI + 1nI + nxI + nxI = In(x + -15) Combine like terms: -6nI + 1nI = -5nI -5nI + nxI + nxI = In(x + -15) Combine like terms: nxI + nxI = 2nxI -5nI + 2nxI = In(x + -15) Reorder the terms: -5nI + 2nxI = nI(-15 + x) -5nI + 2nxI = (-15 * nI + x * nI) -5nI + 2nxI = (-15nI + nxI) Solving -5nI + 2nxI = -15nI + nxI 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. -5nI + 15nI + 2nxI = -15nI + 15nI + nxI Combine like terms: -5nI + 15nI = 10nI 10nI + 2nxI = -15nI + 15nI + nxI Combine like terms: -15nI + 15nI = 0 10nI + 2nxI = 0 + nxI 10nI + 2nxI = nxI Add '-1nxI' to each side of the equation. 10nI + 2nxI + -1nxI = nxI + -1nxI Combine like terms: 2nxI + -1nxI = 1nxI 10nI + 1nxI = nxI + -1nxI Combine like terms: nxI + -1nxI = 0 10nI + 1nxI = 0 Factor out the Greatest Common Factor (GCF), 'nI'. nI(10 + 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 '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 0 Move all terms containing n to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Add '-1x' to each side of the equation. x + -1x = -10 + -1x Combine like terms: x + -1x = 0 0 = -10 + -1x Simplifying 0 = -10 + -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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