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Simplifying ln(-3x + 2) + -1ln(11x + 4) = 0 Reorder the terms: ln(2 + -3x) + -1ln(11x + 4) = 0 (2 * ln + -3x * ln) + -1ln(11x + 4) = 0 (2ln + -3lnx) + -1ln(11x + 4) = 0 Reorder the terms: 2ln + -3lnx + -1ln(4 + 11x) = 0 2ln + -3lnx + (4 * -1ln + 11x * -1ln) = 0 2ln + -3lnx + (-4ln + -11lnx) = 0 Reorder the terms: 2ln + -4ln + -3lnx + -11lnx = 0 Combine like terms: 2ln + -4ln = -2ln -2ln + -3lnx + -11lnx = 0 Combine like terms: -3lnx + -11lnx = -14lnx -2ln + -14lnx = 0 Solving -2ln + -14lnx = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '-2ln'. -2ln(1 + 7x) = 0 Ignore the factor -2.Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve: Simplifying ln = 0 Solving ln = 0 Move all terms containing l to the left, all other terms to the right. Simplifying ln = 0 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 '(1 + 7x)' equal to zero and attempt to solve: Simplifying 1 + 7x = 0 Solving 1 + 7x = 0 Move all terms containing l to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 7x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 0 + -1 7x = 0 + -1 Combine like terms: 0 + -1 = -1 7x = -1 Add '-7x' to each side of the equation. 7x + -7x = -1 + -7x Combine like terms: 7x + -7x = 0 0 = -1 + -7x Simplifying 0 = -1 + -7x 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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