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Simplifying lnx + -1ln(3x2 + -5) = 0 Reorder the terms: lnx + -1ln(-5 + 3x2) = 0 lnx + (-5 * -1ln + 3x2 * -1ln) = 0 lnx + (5ln + -3lnx2) = 0 Reorder the terms: 5ln + lnx + -3lnx2 = 0 Solving 5ln + lnx + -3lnx2 = 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), 'ln'. ln(5 + x + -3x2) = 0Subproblem 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 '(5 + x + -3x2)' equal to zero and attempt to solve: Simplifying 5 + x + -3x2 = 0 Solving 5 + x + -3x2 = 0 Move all terms containing l to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + x + -5 + -3x2 = 0 + -5 Reorder the terms: 5 + -5 + x + -3x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x + -3x2 = 0 + -5 x + -3x2 = 0 + -5 Combine like terms: 0 + -5 = -5 x + -3x2 = -5 Add '-1x' to each side of the equation. x + -1x + -3x2 = -5 + -1x Combine like terms: x + -1x = 0 0 + -3x2 = -5 + -1x -3x2 = -5 + -1x Add '3x2' to each side of the equation. -3x2 + 3x2 = -5 + -1x + 3x2 Combine like terms: -3x2 + 3x2 = 0 0 = -5 + -1x + 3x2 Simplifying 0 = -5 + -1x + 3x2 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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