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