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Simplifying 0 = lnx2 + 2lnx Reorder the terms: 0 = 2lnx + lnx2 Solving 0 = 2lnx + lnx2 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-2lnx' to each side of the equation. 0 + -2lnx = 2lnx + -2lnx + lnx2 Remove the zero: -2lnx = 2lnx + -2lnx + lnx2 Combine like terms: 2lnx + -2lnx = 0 -2lnx = 0 + lnx2 -2lnx = lnx2 Add '-1lnx2' to each side of the equation. -2lnx + -1lnx2 = lnx2 + -1lnx2 Combine like terms: lnx2 + -1lnx2 = 0 -2lnx + -1lnx2 = 0 Factor out the Greatest Common Factor (GCF), '-1lnx'. -1lnx(2 + x) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'lnx' equal to zero and attempt to solve: Simplifying lnx = 0 Solving lnx = 0 Move all terms containing l to the left, all other terms to the right. Simplifying lnx = 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 '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Add '-1x' to each side of the equation. x + -1x = -2 + -1x Combine like terms: x + -1x = 0 0 = -2 + -1x Simplifying 0 = -2 + -1x 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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