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Simplifying 6ln(x + 19) + -2ln(x) = 0 Reorder the terms: 6ln(19 + x) + -2ln(x) = 0 (19 * 6ln + x * 6ln) + -2ln(x) = 0 (114ln + 6lnx) + -2ln(x) = 0 Multiply ln * x 114ln + 6lnx + -2lnx = 0 Combine like terms: 6lnx + -2lnx = 4lnx 114ln + 4lnx = 0 Solving 114ln + 4lnx = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '2ln'. 2ln(57 + 2x) = 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 '(57 + 2x)' equal to zero and attempt to solve: Simplifying 57 + 2x = 0 Solving 57 + 2x = 0 Move all terms containing l to the left, all other terms to the right. Add '-57' to each side of the equation. 57 + -57 + 2x = 0 + -57 Combine like terms: 57 + -57 = 0 0 + 2x = 0 + -57 2x = 0 + -57 Combine like terms: 0 + -57 = -57 2x = -57 Add '-2x' to each side of the equation. 2x + -2x = -57 + -2x Combine like terms: 2x + -2x = 0 0 = -57 + -2x Simplifying 0 = -57 + -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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