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Simplifying 3ln(5y) + 2lnx = 0 Remove parenthesis around (5y) 3ln * 5y + 2lnx = 0 Reorder the terms for easier multiplication: 3 * 5ln * y + 2lnx = 0 Multiply 3 * 5 15ln * y + 2lnx = 0 Multiply ln * y 15lny + 2lnx = 0 Reorder the terms: 2lnx + 15lny = 0 Solving 2lnx + 15lny = 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(2x + 15y) = 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 '(2x + 15y)' equal to zero and attempt to solve: Simplifying 2x + 15y = 0 Solving 2x + 15y = 0 Move all terms containing l to the left, all other terms to the right. Add '-2x' to each side of the equation. 2x + -2x + 15y = 0 + -2x Combine like terms: 2x + -2x = 0 0 + 15y = 0 + -2x 15y = 0 + -2x Remove the zero: 15y = -2x Add '-15y' to each side of the equation. 15y + -15y = -2x + -15y Combine like terms: 15y + -15y = 0 0 = -2x + -15y Simplifying 0 = -2x + -15y 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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