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Simplifying 3ln(x) + -4ln(x + 3) + ln(y) = 0 Multiply ln * x 3lnx + -4ln(x + 3) + ln(y) = 0 Reorder the terms: 3lnx + -4ln(3 + x) + ln(y) = 0 3lnx + (3 * -4ln + x * -4ln) + ln(y) = 0 3lnx + (-12ln + -4lnx) + ln(y) = 0 Multiply ln * y 3lnx + -12ln + -4lnx + lny = 0 Reorder the terms: -12ln + 3lnx + -4lnx + lny = 0 Combine like terms: 3lnx + -4lnx = -1lnx -12ln + -1lnx + lny = 0 Solving -12ln + -1lnx + lny = 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(-12 + -1x + y) = 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 '(-12 + -1x + y)' equal to zero and attempt to solve: Simplifying -12 + -1x + y = 0 Solving -12 + -1x + y = 0 Move all terms containing l to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -1x + 12 + y = 0 + 12 Reorder the terms: -12 + 12 + -1x + y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1x + y = 0 + 12 -1x + y = 0 + 12 Combine like terms: 0 + 12 = 12 -1x + y = 12 Add 'x' to each side of the equation. -1x + x + y = 12 + x Combine like terms: -1x + x = 0 0 + y = 12 + x y = 12 + x Add '-1y' to each side of the equation. y + -1y = 12 + x + -1y Combine like terms: y + -1y = 0 0 = 12 + x + -1y Simplifying 0 = 12 + x + -1y 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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