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Simplifying ln(x2 + -9) + -1ln(x2 + 6x + 9) = 0 Reorder the terms: ln(-9 + x2) + -1ln(x2 + 6x + 9) = 0 (-9 * ln + x2 * ln) + -1ln(x2 + 6x + 9) = 0 (-9ln + lnx2) + -1ln(x2 + 6x + 9) = 0 Reorder the terms: -9ln + lnx2 + -1ln(9 + 6x + x2) = 0 -9ln + lnx2 + (9 * -1ln + 6x * -1ln + x2 * -1ln) = 0 -9ln + lnx2 + (-9ln + -6lnx + -1lnx2) = 0 Reorder the terms: -9ln + -9ln + -6lnx + lnx2 + -1lnx2 = 0 Combine like terms: -9ln + -9ln = -18ln -18ln + -6lnx + lnx2 + -1lnx2 = 0 Combine like terms: lnx2 + -1lnx2 = 0 -18ln + -6lnx + 0 = 0 -18ln + -6lnx = 0 Solving -18ln + -6lnx = 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), '-6ln'. -6ln(3 + x) = 0 Ignore the factor -6.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 '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Add '-1x' to each side of the equation. x + -1x = -3 + -1x Combine like terms: x + -1x = 0 0 = -3 + -1x Simplifying 0 = -3 + -1x 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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