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Simplifying ln(x2 + 2) + -1ln(5x) = 0 Reorder the terms: ln(2 + x2) + -1ln(5x) = 0 (2 * ln + x2 * ln) + -1ln(5x) = 0 (2ln + lnx2) + -1ln(5x) = 0 Remove parenthesis around (5x) 2ln + lnx2 + -1ln * 5x = 0 Reorder the terms for easier multiplication: 2ln + lnx2 + -1 * 5ln * x = 0 Multiply -1 * 5 2ln + lnx2 + -5ln * x = 0 Multiply ln * x 2ln + lnx2 + -5lnx = 0 Reorder the terms: 2ln + -5lnx + lnx2 = 0 Solving 2ln + -5lnx + 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(2 + -5x + 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 '(2 + -5x + x2)' equal to zero and attempt to solve: Simplifying 2 + -5x + x2 = 0 Solving 2 + -5x + x2 = 0 Move all terms containing l to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -5x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + -5x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x + x2 = 0 + -2 -5x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -5x + x2 = -2 Add '5x' to each side of the equation. -5x + 5x + x2 = -2 + 5x Combine like terms: -5x + 5x = 0 0 + x2 = -2 + 5x x2 = -2 + 5x Add '-1x2' to each side of the equation. x2 + -1x2 = -2 + 5x + -1x2 Combine like terms: x2 + -1x2 = 0 0 = -2 + 5x + -1x2 Simplifying 0 = -2 + 5x + -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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