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