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Simplifying Ln(X + 4) + ln(X + -9) = ln14 Reorder the terms: nL(4 + X) + ln(X + -9) = ln14 (4 * nL + X * nL) + ln(X + -9) = ln14 (4nL + nLX) + ln(X + -9) = ln14 Reorder the terms: 4nL + nLX + ln(-9 + X) = ln14 4nL + nLX + (-9 * ln + X * ln) = ln14 4nL + nLX + (-9ln + lnX) = ln14 Reorder the terms: -9ln + lnX + 4nL + nLX = ln14 Solving -9ln + lnX + 4nL + nLX = ln14 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1ln14' to each side of the equation. -9ln + lnX + 4nL + -1ln14 + nLX = ln14 + -1ln14 Reorder the terms: -9ln + lnX + -1ln14 + 4nL + nLX = ln14 + -1ln14 Combine like terms: ln14 + -1ln14 = 0 -9ln + lnX + -1ln14 + 4nL + nLX = 0 Add '-4nL' to each side of the equation. -9ln + lnX + -1ln14 + 4nL + -4nL + nLX = 0 + -4nL Combine like terms: 4nL + -4nL = 0 -9ln + lnX + -1ln14 + 0 + nLX = 0 + -4nL -9ln + lnX + -1ln14 + nLX = 0 + -4nL Remove the zero: -9ln + lnX + -1ln14 + nLX = -4nL Add '-1nLX' to each side of the equation. -9ln + lnX + -1ln14 + nLX + -1nLX = -4nL + -1nLX Combine like terms: nLX + -1nLX = 0 -9ln + lnX + -1ln14 + 0 = -4nL + -1nLX -9ln + lnX + -1ln14 = -4nL + -1nLX Reorder the terms: -9ln + lnX + -1ln14 + 4nL + nLX = -4nL + 4nL + -1nLX + nLX Combine like terms: -4nL + 4nL = 0 -9ln + lnX + -1ln14 + 4nL + nLX = 0 + -1nLX + nLX -9ln + lnX + -1ln14 + 4nL + nLX = -1nLX + nLX Combine like terms: -1nLX + nLX = 0 -9ln + lnX + -1ln14 + 4nL + nLX = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-9l + lX + -1ln13 + 4L + LX) = 0Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing l to the left, all other terms to the right. Add '-1n' to each side of the equation. n + -1n = 0 + -1n Remove the zero: 0 = -1n Simplifying 0 = -1n 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 '(-9l + lX + -1ln13 + 4L + LX)' equal to zero and attempt to solve: Simplifying -9l + lX + -1ln13 + 4L + LX = 0 Reorder the terms: 4L + LX + -9l + lX + -1ln13 = 0 Solving 4L + LX + -9l + lX + -1ln13 = 0 Move all terms containing l to the left, all other terms to the right. Add '-4L' to each side of the equation. 4L + LX + -9l + lX + -4L + -1ln13 = 0 + -4L Reorder the terms: 4L + -4L + LX + -9l + lX + -1ln13 = 0 + -4L Combine like terms: 4L + -4L = 0 0 + LX + -9l + lX + -1ln13 = 0 + -4L LX + -9l + lX + -1ln13 = 0 + -4L Remove the zero: LX + -9l + lX + -1ln13 = -4L Add '-1LX' to each side of the equation. LX + -9l + lX + -1LX + -1ln13 = -4L + -1LX Reorder the terms: LX + -1LX + -9l + lX + -1ln13 = -4L + -1LX Combine like terms: LX + -1LX = 0 0 + -9l + lX + -1ln13 = -4L + -1LX -9l + lX + -1ln13 = -4L + -1LX 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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