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Simplifying Ln(6) + -1ln(x + -5) + -1ln(x) = 0 Reorder the terms for easier multiplication: 6nL + -1ln(x + -5) + -1ln(x) = 0 Reorder the terms: 6nL + -1ln(-5 + x) + -1ln(x) = 0 6nL + (-5 * -1ln + x * -1ln) + -1ln(x) = 0 6nL + (5ln + -1lnx) + -1ln(x) = 0 Multiply ln * x 6nL + 5ln + -1lnx + -1lnx = 0 Reorder the terms: 5ln + -1lnx + -1lnx + 6nL = 0 Combine like terms: -1lnx + -1lnx = -2lnx 5ln + -2lnx + 6nL = 0 Solving 5ln + -2lnx + 6nL = 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. 5ln + -2lnx + 6nL + -6nL = 0 + -6nL Combine like terms: 6nL + -6nL = 0 5ln + -2lnx + 0 = 0 + -6nL 5ln + -2lnx = 0 + -6nL Remove the zero: 5ln + -2lnx = -6nL Combine like terms: -6nL + 6nL = 0 5ln + -2lnx + 6nL = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(5l + -2lx + 6L) = 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 '(5l + -2lx + 6L)' equal to zero and attempt to solve: Simplifying 5l + -2lx + 6L = 0 Reorder the terms: 6L + 5l + -2lx = 0 Solving 6L + 5l + -2lx = 0 Move all terms containing l to the left, all other terms to the right. Add '-6L' to each side of the equation. 6L + 5l + -6L + -2lx = 0 + -6L Reorder the terms: 6L + -6L + 5l + -2lx = 0 + -6L Combine like terms: 6L + -6L = 0 0 + 5l + -2lx = 0 + -6L 5l + -2lx = 0 + -6L Remove the zero: 5l + -2lx = -6L 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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