Question

Divide. 5x + 3/5x3 - 22x2 - 40x – 15
The answer is N
(Simplify your answer.)

Answer 1

`n=(386x-75)/(5)`

Explanation:

Add like terms

`-35x+3\cdot (3)/(5)x-22\cdot \:2x-15=n`

Add 15 on both sides

`-35x+(9)/(5)x-44x-15+15=n+15`

Simplify

`-35x+(9)/(5)x-44x=n+15`

Multiply sides by 5

`-35x\cdot \:5+(9)/(5)x\cdot \:5-44x\cdot \:5=n\cdot \:5+15\cdot \:5`

Simplify

`-386x=5n+75`

Divide both sides

`(-386x)/(-386)=(5n)/(-386)+(75)/(-386)`

You will get

`x=-(5n+75)/(386)`

Then you will solve for n using x

Multiply both sides by 386

`(386\left(5n+75\right))/(386)=386x`

Simplify

`5n+75=386x`

Subtraction

`5n+75-75=386x-75`

Simplify

`5n=386x-75`

Divide by 5 to get n

`(5n)/(5)=(386x)/(5)-(75)/(5)`

`n=(386x-75)/(5)`