# Solve for x minus xe to the power of(minus x) plus e to the power of(minus x) equals zero

Solve for x -xe^(-x)+e^(-x)=0
Factor out of .
Factor out of .
Multiply by .
Factor out of .
If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .
Set the first factor equal to and solve.
Set the first factor equal to .
Take the natural logarithm of both sides of the equation to remove the variable from the exponent.
The equation cannot be solved because is undefined.
Undefined
There is no solution for
No solution
No solution
Set the next factor equal to and solve.
Set the next factor equal to .
Subtract from both sides of the equation.
Multiply each term in by
Multiply each term in by .
Multiply .
Multiply by .
Multiply by .
Multiply by .
The final solution is all the values that make true.
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