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Simplifying x = -5LN(x) Multiply LN * x x = -5xLN Solving x = -5xLN Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5xLN' to each side of the equation. x + 5xLN = -5xLN + 5xLN Combine like terms: -5xLN + 5xLN = 0 x + 5xLN = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(1 + 5LN) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(1 + 5LN)' equal to zero and attempt to solve: Simplifying 1 + 5LN = 0 Solving 1 + 5LN = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5LN = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5LN = 0 + -1 5LN = 0 + -1 Combine like terms: 0 + -1 = -1 5LN = -1 Add '-5LN' to each side of the equation. 5LN + -5LN = -1 + -5LN Combine like terms: 5LN + -5LN = 0 0 = -1 + -5LN Simplifying 0 = -1 + -5LN The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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