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Simplifying 10 + -5ln(x + -5) = 0 Reorder the terms: 10 + -5ln(-5 + x) = 0 10 + (-5 * -5ln + x * -5ln) = 0 10 + (25ln + -5lnx) = 0 Solving 10 + 25ln + -5lnx = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 25ln + -10 + -5lnx = 0 + -10 Reorder the terms: 10 + -10 + 25ln + -5lnx = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 25ln + -5lnx = 0 + -10 25ln + -5lnx = 0 + -10 Combine like terms: 0 + -10 = -10 25ln + -5lnx = -10 Reorder the terms: 10 + 25ln + -5lnx = -10 + 10 Combine like terms: -10 + 10 = 0 10 + 25ln + -5lnx = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(2 + 5ln + -1lnx) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(2 + 5ln + -1lnx)' equal to zero and attempt to solve: Simplifying 2 + 5ln + -1lnx = 0 Solving 2 + 5ln + -1lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 5ln + -2 + -1lnx = 0 + -2 Reorder the terms: 2 + -2 + 5ln + -1lnx = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5ln + -1lnx = 0 + -2 5ln + -1lnx = 0 + -2 Combine like terms: 0 + -2 = -2 5ln + -1lnx = -2 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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