SOLUTION: 4w/w-3=?/(w-3)(w+6) Solve for the ?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 4w/w-3=?/(w-3)(w+6) Solve for the ?       Log On


   

Question 1134827: 4w/w-3=?/(w-3)(w+6)
Solve for the ?
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
let ? be x
4w%2F%28w-3%29=x%2F%28%28w-3%29%28w%2B6%29%29......cross multiply
4w%28w-3%29%28w%2B6%29=x%28w-3%29...simplify
%284w%2Across%28%28w-3%29%29%28w%2B6%29%29=x+%2Across%28%28w-3%29%29

x=4w%28w%2B6%29

so, you have 4w%2F%28w-3%29=4w%28w%2B6%29%2F%28%28w-3%29%28w%2B6%29%29

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

4w/w-3=?/(w-3)(w+6)
Solve for the ? 
matrix%281%2C3%2C+4w%2F%28w+-+3%29%2C+%22=%22%2C+%22%3F%22%2F%28w+-+3%29%28w+%2B+6%29%29

The right-side of the equation shows a denominator of (w - 3)(w + 6). Matching this with the left-side denominator, we see that it needs to be multiplied by w + 6 also.

This gives us: