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Simplifying ln(x2 + -4) + -2ln(x + 2) + ln(2) = 0 Reorder the terms: ln(-4 + x2) + -2ln(x + 2) + ln(2) = 0 (-4 * ln + x2 * ln) + -2ln(x + 2) + ln(2) = 0 (-4ln + lnx2) + -2ln(x + 2) + ln(2) = 0 Reorder the terms: -4ln + lnx2 + -2ln(2 + x) + ln(2) = 0 -4ln + lnx2 + (2 * -2ln + x * -2ln) + ln(2) = 0 -4ln + lnx2 + (-4ln + -2lnx) + ln(2) = 0 Reorder the terms for easier multiplication: -4ln + lnx2 + -4ln + -2lnx + 2ln = 0 Reorder the terms: -4ln + -4ln + 2ln + -2lnx + lnx2 = 0 Combine like terms: -4ln + -4ln = -8ln -8ln + 2ln + -2lnx + lnx2 = 0 Combine like terms: -8ln + 2ln = -6ln -6ln + -2lnx + lnx2 = 0 Solving -6ln + -2lnx + 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(-6 + -2x + 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 '(-6 + -2x + x2)' equal to zero and attempt to solve: Simplifying -6 + -2x + x2 = 0 Solving -6 + -2x + x2 = 0 Move all terms containing l to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -2x + 6 + x2 = 0 + 6 Reorder the terms: -6 + 6 + -2x + x2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -2x + x2 = 0 + 6 -2x + x2 = 0 + 6 Combine like terms: 0 + 6 = 6 -2x + x2 = 6 Add '2x' to each side of the equation. -2x + 2x + x2 = 6 + 2x Combine like terms: -2x + 2x = 0 0 + x2 = 6 + 2x x2 = 6 + 2x Add '-1x2' to each side of the equation. x2 + -1x2 = 6 + 2x + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 6 + 2x + -1x2 Simplifying 0 = 6 + 2x + -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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