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Simplifying 2Ln(2x + 1) + ln(x + 3) = 0 Reorder the terms: 2nL(1 + 2x) + ln(x + 3) = 0 (1 * 2nL + 2x * 2nL) + ln(x + 3) = 0 (2nL + 4nxL) + ln(x + 3) = 0 Reorder the terms: 2nL + 4nxL + ln(3 + x) = 0 2nL + 4nxL + (3 * ln + x * ln) = 0 2nL + 4nxL + (3ln + lnx) = 0 Reorder the terms: 3ln + lnx + 2nL + 4nxL = 0 Solving 3ln + lnx + 2nL + 4nxL = 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. 3ln + lnx + 2nL + -2nL + 4nxL = 0 + -2nL Combine like terms: 2nL + -2nL = 0 3ln + lnx + 0 + 4nxL = 0 + -2nL 3ln + lnx + 4nxL = 0 + -2nL Remove the zero: 3ln + lnx + 4nxL = -2nL Add '-4nxL' to each side of the equation. 3ln + lnx + 4nxL + -4nxL = -2nL + -4nxL Combine like terms: 4nxL + -4nxL = 0 3ln + lnx + 0 = -2nL + -4nxL 3ln + lnx = -2nL + -4nxL Reorder the terms: 3ln + lnx + 2nL + 4nxL = -2nL + 2nL + -4nxL + 4nxL Combine like terms: -2nL + 2nL = 0 3ln + lnx + 2nL + 4nxL = 0 + -4nxL + 4nxL 3ln + lnx + 2nL + 4nxL = -4nxL + 4nxL Combine like terms: -4nxL + 4nxL = 0 3ln + lnx + 2nL + 4nxL = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(3l + lx + 2L + 4xL) = 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 + 2L + 4xL)' equal to zero and attempt to solve: Simplifying 3l + lx + 2L + 4xL = 0 Reorder the terms: 2L + 3l + lx + 4xL = 0 Solving 2L + 3l + lx + 4xL = 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 + lx + -2L + 4xL = 0 + -2L Reorder the terms: 2L + -2L + 3l + lx + 4xL = 0 + -2L Combine like terms: 2L + -2L = 0 0 + 3l + lx + 4xL = 0 + -2L 3l + lx + 4xL = 0 + -2L Remove the zero: 3l + lx + 4xL = -2L Add '-4xL' to each side of the equation. 3l + lx + 4xL + -4xL = -2L + -4xL Combine like terms: 4xL + -4xL = 0 3l + lx + 0 = -2L + -4xL 3l + lx = -2L + -4xL 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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