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