Question

2e^(-t)-2te^(-t)=0 solve for t

Answer 1

`2e^(^-^t^)-2te^(^-^t^)=0`


`2e^-^t-2te^-^t=0`
`Simplify \ brackets`


`2((1)/(e^t)- (t)/(e^t))=0`
`Factor \ out \ the \ common \ term \ 2`


`(1)/(e^t)- (t)/(e^t)=0`
`Divide \ both \ sides \ by \ 2`


`(1-t)/(e^t) =0`
`Join \ denominators`


`1-t=0`
`Multiply \ both \ sides \ by \ e^t`


`-t=-1`
`Subtract \ 1 \ from \ both \ sides`


`t=1`
`Multiply \ both \ sides \ by \ -1`

Answer 2

`image`


Answer: t = 1.