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Simplifying 0 = 2ln(2x2 + 3) Reorder the terms: 0 = 2ln(3 + 2x2) 0 = (3 * 2ln + 2x2 * 2ln) 0 = (6ln + 4lnx2) Solving 0 = 6ln + 4lnx2 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-6ln' to each side of the equation. 0 + -6ln = 6ln + -6ln + 4lnx2 Remove the zero: -6ln = 6ln + -6ln + 4lnx2 Combine like terms: 6ln + -6ln = 0 -6ln = 0 + 4lnx2 -6ln = 4lnx2 Add '-4lnx2' to each side of the equation. -6ln + -4lnx2 = 4lnx2 + -4lnx2 Combine like terms: 4lnx2 + -4lnx2 = 0 -6ln + -4lnx2 = 0 Factor out the Greatest Common Factor (GCF), '-2ln'. -2ln(3 + 2x2) = 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 '(3 + 2x2)' equal to zero and attempt to solve: Simplifying 3 + 2x2 = 0 Solving 3 + 2x2 = 0 Move all terms containing l to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x2 = 0 + -3 2x2 = 0 + -3 Combine like terms: 0 + -3 = -3 2x2 = -3 Add '-2x2' to each side of the equation. 2x2 + -2x2 = -3 + -2x2 Combine like terms: 2x2 + -2x2 = 0 0 = -3 + -2x2 Simplifying 0 = -3 + -2x2 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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