Solve x e^x - e ^x

Calculator

Examples

DOWNLOAD FOR FREE

Example problems

Type your math problem... x e^x - e ^x

Question

Factor the expression

e^{x} (x - 1)

Evaluate

x e^{x} - e^{x}

Solution

e^{x} (x - 1)

Show Solution

x = 1

Evaluate

x e^{x} - e^{x}

To find the roots of the expression,set the expression equal to 0

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

Factor the expression

More Steps

Factor the expression

x e^{x} - e^{x}

Calculate

e^{x} x - e^{x}

Factor out e^{x} from the expression

e^{x} (x - 1)

e^{x} (x - 1) = 0

Separate the equation into 2 possible cases

e^{x} = 0 x - 1 = 0

Since the left-hand side is always positive,and the right-hand side is always 0,the statement is false for any value of x

x \in / R x - 1 = 0

Solve the equation

More Steps

Evaluate

x - 1 = 0

Move the constant to the right-hand side and change its sign

x = 0 + 1

Removing 0 doesn't change the value,so remove it from the expression

x = 1

x \in / R x = 1

Solution

x = 1

Show Solution

English