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Simplifying Ln(4x2 + -12) = 0 Reorder the terms: nL(-12 + 4x2) = 0 (-12 * nL + 4x2 * nL) = 0 (-12nL + 4nx2L) = 0 Solving -12nL + 4nx2L = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '4nL'. 4nL(-3 + x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'nL' equal to zero and attempt to solve: Simplifying nL = 0 Solving nL = 0 Move all terms containing n to the left, all other terms to the right. Simplifying nL = 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 + x2)' equal to zero and attempt to solve: Simplifying -3 + x2 = 0 Solving -3 + x2 = 0 Move all terms containing n to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x2 = 0 + 3 x2 = 0 + 3 Combine like terms: 0 + 3 = 3 x2 = 3 Add '-1x2' to each side of the equation. x2 + -1x2 = 3 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 3 + -1x2 Simplifying 0 = 3 + -1x2 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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