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Simplifying Ln(x + -4) + ln(x + -2) = 0 Reorder the terms: nL(-4 + x) + ln(x + -2) = 0 (-4 * nL + x * nL) + ln(x + -2) = 0 (-4nL + nxL) + ln(x + -2) = 0 Reorder the terms: -4nL + nxL + ln(-2 + x) = 0 -4nL + nxL + (-2 * ln + x * ln) = 0 -4nL + nxL + (-2ln + lnx) = 0 Reorder the terms: -2ln + lnx + -4nL + nxL = 0 Solving -2ln + lnx + -4nL + nxL = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '4nL' to each side of the equation. -2ln + lnx + -4nL + 4nL + nxL = 0 + 4nL Combine like terms: -4nL + 4nL = 0 -2ln + lnx + 0 + nxL = 0 + 4nL -2ln + lnx + nxL = 0 + 4nL Remove the zero: -2ln + lnx + nxL = 4nL Add '-1nxL' to each side of the equation. -2ln + lnx + nxL + -1nxL = 4nL + -1nxL Combine like terms: nxL + -1nxL = 0 -2ln + lnx + 0 = 4nL + -1nxL -2ln + lnx = 4nL + -1nxL Reorder the terms: -2ln + lnx + -4nL + nxL = 4nL + -4nL + -1nxL + nxL Combine like terms: 4nL + -4nL = 0 -2ln + lnx + -4nL + nxL = 0 + -1nxL + nxL -2ln + lnx + -4nL + nxL = -1nxL + nxL Combine like terms: -1nxL + nxL = 0 -2ln + lnx + -4nL + nxL = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-2l + lx + -4L + 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 + -4L + xL)' equal to zero and attempt to solve: Simplifying -2l + lx + -4L + xL = 0 Reorder the terms: -4L + -2l + lx + xL = 0 Solving -4L + -2l + lx + xL = 0 Move all terms containing l to the left, all other terms to the right. Add '4L' to each side of the equation. -4L + -2l + lx + 4L + xL = 0 + 4L Reorder the terms: -4L + 4L + -2l + lx + xL = 0 + 4L Combine like terms: -4L + 4L = 0 0 + -2l + lx + xL = 0 + 4L -2l + lx + xL = 0 + 4L Remove the zero: -2l + lx + xL = 4L Add '-1xL' to each side of the equation. -2l + lx + xL + -1xL = 4L + -1xL Combine like terms: xL + -1xL = 0 -2l + lx + 0 = 4L + -1xL -2l + lx = 4L + -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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