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Simplifying 5ln(x) + 5ln(y) + -5ln(r) = 0 Multiply ln * x 5lnx + 5ln(y) + -5ln(r) = 0 Multiply ln * y 5lnx + 5lny + -5ln(r) = 0 Multiply ln * r 5lnx + 5lny + -5lnr = 0 Reorder the terms: -5lnr + 5lnx + 5lny = 0 Solving -5lnr + 5lnx + 5lny = 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), '5ln'. 5ln(-1r + x + y) = 0 Ignore the factor 5.Subproblem 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 '(-1r + x + y)' equal to zero and attempt to solve: Simplifying -1r + x + y = 0 Solving -1r + x + y = 0 Move all terms containing l to the left, all other terms to the right. Add 'r' to each side of the equation. -1r + x + r + y = 0 + r Reorder the terms: -1r + r + x + y = 0 + r Combine like terms: -1r + r = 0 0 + x + y = 0 + r x + y = 0 + r Remove the zero: x + y = r Add '-1x' to each side of the equation. x + -1x + y = r + -1x Combine like terms: x + -1x = 0 0 + y = r + -1x y = r + -1x Add '-1y' to each side of the equation. y + -1y = r + -1x + -1y Combine like terms: y + -1y = 0 0 = r + -1x + -1y Simplifying 0 = r + -1x + -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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