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Simplifying Ln(x + 2) + ln(x + -5) = 0 Reorder the terms: nL(2 + x) + ln(x + -5) = 0 (2 * nL + x * nL) + ln(x + -5) = 0 (2nL + nxL) + ln(x + -5) = 0 Reorder the terms: 2nL + nxL + ln(-5 + x) = 0 2nL + nxL + (-5 * ln + x * ln) = 0 2nL + nxL + (-5ln + lnx) = 0 Reorder the terms: -5ln + lnx + 2nL + nxL = 0 Solving -5ln + lnx + 2nL + nxL = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-2nL' to each side of the equation. -5ln + lnx + 2nL + -2nL + nxL = 0 + -2nL Combine like terms: 2nL + -2nL = 0 -5ln + lnx + 0 + nxL = 0 + -2nL -5ln + lnx + nxL = 0 + -2nL Remove the zero: -5ln + lnx + nxL = -2nL Add '-1nxL' to each side of the equation. -5ln + lnx + nxL + -1nxL = -2nL + -1nxL Combine like terms: nxL + -1nxL = 0 -5ln + lnx + 0 = -2nL + -1nxL -5ln + lnx = -2nL + -1nxL Reorder the terms: -5ln + lnx + 2nL + nxL = -2nL + 2nL + -1nxL + nxL Combine like terms: -2nL + 2nL = 0 -5ln + lnx + 2nL + nxL = 0 + -1nxL + nxL -5ln + lnx + 2nL + nxL = -1nxL + nxL Combine like terms: -1nxL + nxL = 0 -5ln + lnx + 2nL + nxL = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-5l + lx + 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 '(-5l + lx + 2L + xL)' equal to zero and attempt to solve: Simplifying -5l + lx + 2L + xL = 0 Reorder the terms: 2L + -5l + lx + xL = 0 Solving 2L + -5l + lx + 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 + -5l + lx + -2L + xL = 0 + -2L Reorder the terms: 2L + -2L + -5l + lx + xL = 0 + -2L Combine like terms: 2L + -2L = 0 0 + -5l + lx + xL = 0 + -2L -5l + lx + xL = 0 + -2L Remove the zero: -5l + lx + xL = -2L Add '-1xL' to each side of the equation. -5l + lx + xL + -1xL = -2L + -1xL Combine like terms: xL + -1xL = 0 -5l + lx + 0 = -2L + -1xL -5l + lx = -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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