simplify the equation

Question

6 over x^2-9x+20 minus 3 over 4-x = 2 over x -5

Answer 1

6/(x^2 - 9x + 20) - 3/(4-x) = 2/(x-5)

 

Factor out the denominator of the first term and multiply second term by (-1)/(-1) and get

 

6/[(x-4)(x-5)] + 3/(x-4) = 2/(x-5)

 

Multiply both sides by (x-4)(x-5) and get

 

6 + 3(x-5) = 2(x-4)

 

Solve for x and get x=1