Does anyone know how to solve for x?

i need to find all values that would satisfy this equation

i need to know all the valus to satisfy this equation
 
Note: Sometimes, I don't even look at questions that already have responses. If you respond to your own post, it may appear confusing in the directory.

Note: Your intent is ambiguous. Is that "x-3" ALL in the denominator? You were careful to use parentheses on the other side, so can it be assumed that you deliberately did not with the "x-3"?
 
Hi.

This is a little tricky. You will end up with two solutions: this is how you would do this problem.

4+(5/(x-3)=-3/(x-2)

Simplify the left hand side (4/1)+(5/(x-3) = (4x-7)/(x-3)

Now you have
(4x-7)/(x-3) = -3/(x-2)

Cross multiply:

-3(x-3) = (4x-7)(x-2)

Simplify both sides (FOIL right hand side)

-3x+9 = 4x^2-15x+14

Move everything in the right over to the left:

4x^2-12x+5 = 0

Now solve the trinomial for your two solutions.


If you need help, please post the steps you have taken from this point on.

Best of luck.
 
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