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Simplifying Ln(X + 1) + Ln(x + 5) + -1ln(11X + -1) = 0 Reorder the terms: nL(1 + X) + Ln(x + 5) + -1ln(11X + -1) = 0 (1 * nL + X * nL) + Ln(x + 5) + -1ln(11X + -1) = 0 (1nL + nLX) + Ln(x + 5) + -1ln(11X + -1) = 0 Reorder the terms: 1nL + nLX + nL(5 + x) + -1ln(11X + -1) = 0 1nL + nLX + (5 * nL + x * nL) + -1ln(11X + -1) = 0 1nL + nLX + (5nL + nxL) + -1ln(11X + -1) = 0 Reorder the terms: 1nL + nLX + 5nL + nxL + -1ln(-1 + 11X) = 0 1nL + nLX + 5nL + nxL + (-1 * -1ln + 11X * -1ln) = 0 1nL + nLX + 5nL + nxL + (1ln + -11lnX) = 0 Reorder the terms: 1ln + -11lnX + 1nL + 5nL + nLX + nxL = 0 Combine like terms: 1nL + 5nL = 6nL 1ln + -11lnX + 6nL + nLX + nxL = 0 Solving 1ln + -11lnX + 6nL + nLX + nxL = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-6nL' to each side of the equation. 1ln + -11lnX + 6nL + nLX + -6nL + nxL = 0 + -6nL Reorder the terms: 1ln + -11lnX + 6nL + -6nL + nLX + nxL = 0 + -6nL Combine like terms: 6nL + -6nL = 0 1ln + -11lnX + 0 + nLX + nxL = 0 + -6nL 1ln + -11lnX + nLX + nxL = 0 + -6nL Remove the zero: 1ln + -11lnX + nLX + nxL = -6nL Add '-1nLX' to each side of the equation. 1ln + -11lnX + nLX + -1nLX + nxL = -6nL + -1nLX Combine like terms: nLX + -1nLX = 0 1ln + -11lnX + 0 + nxL = -6nL + -1nLX 1ln + -11lnX + nxL = -6nL + -1nLX Add '-1nxL' to each side of the equation. 1ln + -11lnX + nxL + -1nxL = -6nL + -1nLX + -1nxL Combine like terms: nxL + -1nxL = 0 1ln + -11lnX + 0 = -6nL + -1nLX + -1nxL 1ln + -11lnX = -6nL + -1nLX + -1nxL Reorder the terms: 1ln + -11lnX + 6nL + nLX + nxL = -6nL + 6nL + -1nLX + nLX + -1nxL + nxL Combine like terms: -6nL + 6nL = 0 1ln + -11lnX + 6nL + nLX + nxL = 0 + -1nLX + nLX + -1nxL + nxL 1ln + -11lnX + 6nL + nLX + nxL = -1nLX + nLX + -1nxL + nxL Combine like terms: -1nLX + nLX = 0 1ln + -11lnX + 6nL + nLX + nxL = 0 + -1nxL + nxL 1ln + -11lnX + 6nL + nLX + nxL = -1nxL + nxL Combine like terms: -1nxL + nxL = 0 1ln + -11lnX + 6nL + nLX + nxL = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(l + -11lX + 6L + LX + xL) = 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 '(l + -11lX + 6L + LX + xL)' equal to zero and attempt to solve: Simplifying l + -11lX + 6L + LX + xL = 0 Reorder the terms: 6L + LX + l + -11lX + xL = 0 Solving 6L + LX + l + -11lX + xL = 0 Move all terms containing l to the left, all other terms to the right. Add '-6L' to each side of the equation. 6L + LX + l + -11lX + -6L + xL = 0 + -6L Reorder the terms: 6L + -6L + LX + l + -11lX + xL = 0 + -6L Combine like terms: 6L + -6L = 0 0 + LX + l + -11lX + xL = 0 + -6L LX + l + -11lX + xL = 0 + -6L Remove the zero: LX + l + -11lX + xL = -6L Add '-1LX' to each side of the equation. LX + l + -11lX + -1LX + xL = -6L + -1LX Reorder the terms: LX + -1LX + l + -11lX + xL = -6L + -1LX Combine like terms: LX + -1LX = 0 0 + l + -11lX + xL = -6L + -1LX l + -11lX + xL = -6L + -1LX Add '-1xL' to each side of the equation. l + -11lX + xL + -1xL = -6L + -1LX + -1xL Combine like terms: xL + -1xL = 0 l + -11lX + 0 = -6L + -1LX + -1xL l + -11lX = -6L + -1LX + -1xL 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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