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Simplifying ln(x + -2) * ln(x) = 0 Reorder the terms: ln(-2 + x) * ln(x) = 0 Reorder the terms for easier multiplication: ln * ln * x(-2 + x) = 0 Multiply ln * ln l2n2 * x(-2 + x) = 0 Multiply l2n2 * x l2n2x(-2 + x) = 0 (-2 * l2n2x + x * l2n2x) = 0 (-2l2n2x + l2n2x2) = 0 Solving -2l2n2x + l2n2x2 = 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), 'l2n2x'. l2n2x(-2 + x) = 0Subproblem 1
Set the factor 'l2n2x' equal to zero and attempt to solve: Simplifying l2n2x = 0 Solving l2n2x = 0 Move all terms containing l to the left, all other terms to the right. Simplifying l2n2x = 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 '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Add '-1x' to each side of the equation. x + -1x = 2 + -1x Combine like terms: x + -1x = 0 0 = 2 + -1x Simplifying 0 = 2 + -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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