Simplify by removing factors of 1

9w-36/4-w

What is the simplified form?

the way you typed it, the answer would be

9w - 9 - w
= 8w - 9

You must mean

(9w-36)/(4-w)
= 9(w-4)/(w-4)
= 9 , w not equal to 4

the question reads

9w-36 over 4-w

I am supposed to simplify by removing factors of 1

I solved it for you according to that version.

Look above

Removing factors of 1 makes no sense.
1 is a factor of every number or variable, but nothing is gained by that.

Reiny I appreciate your help but this is solving a problem by factoring which means your ultimate goal isnt just to get X=. So the answer you are giving me isnt correct for what I am trying to solve.

This one of the of the ways you learn to simplify rational expressions.

To simplify the expression 9w - 36/4 - w by removing factors of 1, we follow the order of operations (Parentheses, Exponents, Multiplication/Division, and Addition/Subtraction), also known as PEMDAS.

First, we need to simplify the fraction 36/4. This simplifies to 9 since 36 divided by 4 equals 9.
The expression now becomes: 9w - 9 - w.

Next, we can simplify the terms involving "w". We combine like terms by adding or subtracting the coefficients (numbers in front of "w") together. In this case, we have 9w and -w, so we subtract the coefficients:

9w - w = 8w.

The expression now becomes: 8w - 9.

Therefore, the simplified form of the expression 9w - 36/4 - w by removing factors of 1 is 8w - 9.