Question
Solve the equation
x=0
Evaluate
x3ex×ex=0
Multiply
More Steps

Evaluate
x3ex×ex
Multiply the terms with the same base by adding their exponents
x3ex+x
Add the terms
More Steps

Evaluate
x+x
Collect like terms by calculating the sum or difference of their coefficients
(1+1)x
Add the numbers
2x
x3e2x
x3e2x=0
Separate the equation into 2 possible cases
x3=0e2x=0
The only way a power can be 0 is when the base equals 0
x=0e2x=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=0x∈/R
Solution
x=0
Show Solution
