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Simplifying 10 + -4ln(x + -2) = 0 Reorder the terms: 10 + -4ln(-2 + x) = 0 10 + (-2 * -4ln + x * -4ln) = 0 10 + (8ln + -4lnx) = 0 Solving 10 + 8ln + -4lnx = 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 + 8ln + -10 + -4lnx = 0 + -10 Reorder the terms: 10 + -10 + 8ln + -4lnx = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 8ln + -4lnx = 0 + -10 8ln + -4lnx = 0 + -10 Combine like terms: 0 + -10 = -10 8ln + -4lnx = -10 Reorder the terms: 10 + 8ln + -4lnx = -10 + 10 Combine like terms: -10 + 10 = 0 10 + 8ln + -4lnx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(5 + 4ln + -2lnx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + 4ln + -2lnx)' equal to zero and attempt to solve: Simplifying 5 + 4ln + -2lnx = 0 Solving 5 + 4ln + -2lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 4ln + -5 + -2lnx = 0 + -5 Reorder the terms: 5 + -5 + 4ln + -2lnx = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4ln + -2lnx = 0 + -5 4ln + -2lnx = 0 + -5 Combine like terms: 0 + -5 = -5 4ln + -2lnx = -5 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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