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Simplifying 0 = 3ln(4x2 + 5) Reorder the terms: 0 = 3ln(5 + 4x2) 0 = (5 * 3ln + 4x2 * 3ln) 0 = (15ln + 12lnx2) Solving 0 = 15ln + 12lnx2 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-15ln' to each side of the equation. 0 + -15ln = 15ln + -15ln + 12lnx2 Remove the zero: -15ln = 15ln + -15ln + 12lnx2 Combine like terms: 15ln + -15ln = 0 -15ln = 0 + 12lnx2 -15ln = 12lnx2 Add '-12lnx2' to each side of the equation. -15ln + -12lnx2 = 12lnx2 + -12lnx2 Combine like terms: 12lnx2 + -12lnx2 = 0 -15ln + -12lnx2 = 0 Factor out the Greatest Common Factor (GCF), '-3ln'. -3ln(5 + 4x2) = 0 Ignore the factor -3.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 + 4x2)' equal to zero and attempt to solve: Simplifying 5 + 4x2 = 0 Solving 5 + 4x2 = 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 + 4x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4x2 = 0 + -5 4x2 = 0 + -5 Combine like terms: 0 + -5 = -5 4x2 = -5 Add '-4x2' to each side of the equation. 4x2 + -4x2 = -5 + -4x2 Combine like terms: 4x2 + -4x2 = 0 0 = -5 + -4x2 Simplifying 0 = -5 + -4x2 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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