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Simplifying 2ln * 5 + ln(3 + -2x) = ln * 11 Reorder the terms for easier multiplication: 2 * 5ln + ln(3 + -2x) = ln * 11 Multiply 2 * 5 10ln + ln(3 + -2x) = ln * 11 10ln + (3 * ln + -2x * ln) = ln * 11 10ln + (3ln + -2lnx) = ln * 11 Combine like terms: 10ln + 3ln = 13ln 13ln + -2lnx = ln * 11 Reorder the terms for easier multiplication: 13ln + -2lnx = 11ln Solving 13ln + -2lnx = 11ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-11ln' to each side of the equation. 13ln + -11ln + -2lnx = 11ln + -11ln Combine like terms: 13ln + -11ln = 2ln 2ln + -2lnx = 11ln + -11ln Combine like terms: 11ln + -11ln = 0 2ln + -2lnx = 0 Factor out the Greatest Common Factor (GCF), '2ln'. 2ln(1 + -1x) = 0 Ignore the factor 2.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 '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing l to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Add 'x' to each side of the equation. -1x + x = -1 + x Combine like terms: -1x + x = 0 0 = -1 + x Simplifying 0 = -1 + x 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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