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Simplifying In(x) + In(x + -2) = In(x + 10) Multiply nI * x nxI + In(x + -2) = In(x + 10) Reorder the terms: nxI + nI(-2 + x) = In(x + 10) nxI + (-2 * nI + x * nI) = In(x + 10) nxI + (-2nI + nxI) = In(x + 10) Reorder the terms: -2nI + nxI + nxI = In(x + 10) Combine like terms: nxI + nxI = 2nxI -2nI + 2nxI = In(x + 10) Reorder the terms: -2nI + 2nxI = nI(10 + x) -2nI + 2nxI = (10 * nI + x * nI) -2nI + 2nxI = (10nI + nxI) Solving -2nI + 2nxI = 10nI + nxI Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10nI' to each side of the equation. -2nI + -10nI + 2nxI = 10nI + -10nI + nxI Combine like terms: -2nI + -10nI = -12nI -12nI + 2nxI = 10nI + -10nI + nxI Combine like terms: 10nI + -10nI = 0 -12nI + 2nxI = 0 + nxI -12nI + 2nxI = nxI Add '-1nxI' to each side of the equation. -12nI + 2nxI + -1nxI = nxI + -1nxI Combine like terms: 2nxI + -1nxI = 1nxI -12nI + 1nxI = nxI + -1nxI Combine like terms: nxI + -1nxI = 0 -12nI + 1nxI = 0 Factor out the Greatest Common Factor (GCF), 'nI'. nI(-12 + 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 '(-12 + x)' equal to zero and attempt to solve: Simplifying -12 + x = 0 Solving -12 + x = 0 Move all terms containing n to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + x = 0 + 12 x = 0 + 12 Combine like terms: 0 + 12 = 12 x = 12 Add '-1x' to each side of the equation. x + -1x = 12 + -1x Combine like terms: x + -1x = 0 0 = 12 + -1x Simplifying 0 = 12 + -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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