Solve (2x-1)e x =e x

Evaluate

(2 x - 1) e x = e x

Multiply the first two terms

e (2 x - 1) x = e x

Expand the expression

More Steps

2 e x^{2} - e x = e x

Move the expression to the left side

2 e x^{2} - 2 e x = 0

Factor the expression

More Steps

2 e x (x - 1) = 0

When the product of factors equals 0,at least one factor is 0

x - 1 = 0 2 e x = 0

Solve the equation for x

More Steps

x = 1 2 e x = 0

Solve the equation for x

x = 1 x = 0

Solution

x_{1} = 0, x_{2} = 1

Solve the quadratic equation