Posted by G on .
Can someone please break down how to solve this equation. I am so confused.
(x  2)/(x2 + 3x  10) – x/(x + 5) = 4
Show how you get the answers {3.8, 2}, yet only one of them is a true solution.

Algebra 
Damon,
(x  2)/(x^2 + 3x  10) – x/(x + 5) = 4
(x2)/[(x+5)(x2)]  x/(x+5) = 4
1/(x+5) x/(x+5) = 4
1x = 4x+20
5 x = 19
x = 3.8
x = 2 does not satisfy the original equation and I do not know where you got it. If x = 2 then the denominator of the first term x^2+3x10 = 0 so it is undefined. 
Algebra 
G,
Thanks a bunch. It makes sense. I was adding too many steps in and confusing myself.