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Simplifying Lnx + ln(3 + x) = 0 nxL + (3 * ln + x * ln) = 0 nxL + (3ln + lnx) = 0 Reorder the terms: 3ln + lnx + nxL = 0 Solving 3ln + lnx + nxL = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1nxL' to each side of the equation. 3ln + lnx + nxL + -1nxL = 0 + -1nxL Combine like terms: nxL + -1nxL = 0 3ln + lnx + 0 = 0 + -1nxL 3ln + lnx = 0 + -1nxL Remove the zero: 3ln + lnx = -1nxL Combine like terms: -1nxL + nxL = 0 3ln + lnx + nxL = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(3l + lx + xL) = 0Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing l to the left, all other terms to the right. Add '-1n' to each side of the equation. n + -1n = 0 + -1n Remove the zero: 0 = -1n Simplifying 0 = -1n 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 '(3l + lx + xL)' equal to zero and attempt to solve: Simplifying 3l + lx + xL = 0 Solving 3l + lx + xL = 0 Move all terms containing l to the left, all other terms to the right. Add '-1xL' to each side of the equation. 3l + lx + xL + -1xL = 0 + -1xL Combine like terms: xL + -1xL = 0 3l + lx + 0 = 0 + -1xL 3l + lx = 0 + -1xL Remove the zero: 3l + lx = -1xL 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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