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Simplifying Ln(x + -2) + ln(x + -3) = 2lnx Reorder the terms: nL(-2 + x) + ln(x + -3) = 2lnx (-2 * nL + x * nL) + ln(x + -3) = 2lnx (-2nL + nxL) + ln(x + -3) = 2lnx Reorder the terms: -2nL + nxL + ln(-3 + x) = 2lnx -2nL + nxL + (-3 * ln + x * ln) = 2lnx -2nL + nxL + (-3ln + lnx) = 2lnx Reorder the terms: -3ln + lnx + -2nL + nxL = 2lnx Solving -3ln + lnx + -2nL + nxL = 2lnx 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. -3ln + lnx + -2nL + -2lnx + nxL = 2lnx + -2lnx Reorder the terms: -3ln + lnx + -2lnx + -2nL + nxL = 2lnx + -2lnx Combine like terms: lnx + -2lnx = -1lnx -3ln + -1lnx + -2nL + nxL = 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 -3ln + -1lnx + -2nL + nxL = 0 Add '2nL' to each side of the equation. -3ln + -1lnx + -2nL + 2nL + nxL = 0 + 2nL Combine like terms: -2nL + 2nL = 0 -3ln + -1lnx + 0 + nxL = 0 + 2nL -3ln + -1lnx + nxL = 0 + 2nL Remove the zero: -3ln + -1lnx + nxL = 2nL Add '-1nxL' to each side of the equation. -3ln + -1lnx + nxL + -1nxL = 2nL + -1nxL Combine like terms: nxL + -1nxL = 0 -3ln + -1lnx + 0 = 2nL + -1nxL -3ln + -1lnx = 2nL + -1nxL Reorder the terms: -3ln + -1lnx + -2nL + nxL = 2nL + -2nL + -1nxL + nxL Combine like terms: 2nL + -2nL = 0 -3ln + -1lnx + -2nL + nxL = 0 + -1nxL + nxL -3ln + -1lnx + -2nL + nxL = -1nxL + nxL Combine like terms: -1nxL + nxL = 0 -3ln + -1lnx + -2nL + nxL = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-3l + -1lx + -2L + 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 + -1lx + -2L + xL)' equal to zero and attempt to solve: Simplifying -3l + -1lx + -2L + xL = 0 Reorder the terms: -2L + -3l + -1lx + xL = 0 Solving -2L + -3l + -1lx + xL = 0 Move all terms containing l to the left, all other terms to the right. Add '2L' to each side of the equation. -2L + -3l + -1lx + 2L + xL = 0 + 2L Reorder the terms: -2L + 2L + -3l + -1lx + xL = 0 + 2L Combine like terms: -2L + 2L = 0 0 + -3l + -1lx + xL = 0 + 2L -3l + -1lx + xL = 0 + 2L Remove the zero: -3l + -1lx + xL = 2L Add '-1xL' to each side of the equation. -3l + -1lx + xL + -1xL = 2L + -1xL Combine like terms: xL + -1xL = 0 -3l + -1lx + 0 = 2L + -1xL -3l + -1lx = 2L + -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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