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Simplifying 0 = 26ln(2x + 5) Reorder the terms: 0 = 26ln(5 + 2x) 0 = (5 * 26ln + 2x * 26ln) 0 = (130ln + 52lnx) Solving 0 = 130ln + 52lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-130ln' to each side of the equation. 0 + -130ln = 130ln + -130ln + 52lnx Remove the zero: -130ln = 130ln + -130ln + 52lnx Combine like terms: 130ln + -130ln = 0 -130ln = 0 + 52lnx -130ln = 52lnx Add '-52lnx' to each side of the equation. -130ln + -52lnx = 52lnx + -52lnx Combine like terms: 52lnx + -52lnx = 0 -130ln + -52lnx = 0 Factor out the Greatest Common Factor (GCF), '-26ln'. -26ln(5 + 2x) = 0 Ignore the factor -26.Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve: Simplifying ln = 0 Solving ln = 0 Move all terms containing l to the left, all other terms to the right. Simplifying ln = 0 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 '(5 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 0 Move all terms containing l to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Add '-2x' to each side of the equation. 2x + -2x = -5 + -2x Combine like terms: 2x + -2x = 0 0 = -5 + -2x Simplifying 0 = -5 + -2x 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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