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Simplifying ln(x2 + -14x + 46) = 0 Reorder the terms: ln(46 + -14x + x2) = 0 (46 * ln + -14x * ln + x2 * ln) = 0 (46ln + -14lnx + lnx2) = 0 Solving 46ln + -14lnx + lnx2 = 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(46 + -14x + x2) = 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 '(46 + -14x + x2)' equal to zero and attempt to solve: Simplifying 46 + -14x + x2 = 0 Solving 46 + -14x + x2 = 0 Move all terms containing l to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -14x + -46 + x2 = 0 + -46 Reorder the terms: 46 + -46 + -14x + x2 = 0 + -46 Combine like terms: 46 + -46 = 0 0 + -14x + x2 = 0 + -46 -14x + x2 = 0 + -46 Combine like terms: 0 + -46 = -46 -14x + x2 = -46 Add '14x' to each side of the equation. -14x + 14x + x2 = -46 + 14x Combine like terms: -14x + 14x = 0 0 + x2 = -46 + 14x x2 = -46 + 14x Add '-1x2' to each side of the equation. x2 + -1x2 = -46 + 14x + -1x2 Combine like terms: x2 + -1x2 = 0 0 = -46 + 14x + -1x2 Simplifying 0 = -46 + 14x + -1x2 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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