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Simplifying ln(4x + -1) + -1ln(x2 + 6) = 0 Reorder the terms: ln(-1 + 4x) + -1ln(x2 + 6) = 0 (-1 * ln + 4x * ln) + -1ln(x2 + 6) = 0 (-1ln + 4lnx) + -1ln(x2 + 6) = 0 Reorder the terms: -1ln + 4lnx + -1ln(6 + x2) = 0 -1ln + 4lnx + (6 * -1ln + x2 * -1ln) = 0 -1ln + 4lnx + (-6ln + -1lnx2) = 0 Reorder the terms: -1ln + -6ln + 4lnx + -1lnx2 = 0 Combine like terms: -1ln + -6ln = -7ln -7ln + 4lnx + -1lnx2 = 0 Solving -7ln + 4lnx + -1lnx2 = 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(-7 + 4x + -1x2) = 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 '(-7 + 4x + -1x2)' equal to zero and attempt to solve: Simplifying -7 + 4x + -1x2 = 0 Solving -7 + 4x + -1x2 = 0 Move all terms containing l to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 4x + 7 + -1x2 = 0 + 7 Reorder the terms: -7 + 7 + 4x + -1x2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 4x + -1x2 = 0 + 7 4x + -1x2 = 0 + 7 Combine like terms: 0 + 7 = 7 4x + -1x2 = 7 Add '-4x' to each side of the equation. 4x + -4x + -1x2 = 7 + -4x Combine like terms: 4x + -4x = 0 0 + -1x2 = 7 + -4x -1x2 = 7 + -4x Add 'x2' to each side of the equation. -1x2 + x2 = 7 + -4x + x2 Combine like terms: -1x2 + x2 = 0 0 = 7 + -4x + x2 Simplifying 0 = 7 + -4x + x2 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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