SOLUTION: Please help me solve this equation ((2x-a)/(x+a))-((x+3a)/(a-x))=(a^2/(a^2-x^2))+3 possible answers: x=-8a x=-4a x=4a x=8a

Question 149865: Please help me solve this equation
((2x-a)/(x+a))-((x+3a)/(a-x))=(a^2/(a^2-x^2))+3
possible answers:
x=-8a
x=-4a
x=4a
x=8a
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Hope you can follow this:
.
((2x-a)/(x+a))-((x+3a)/(a-x))=(a^2/(a^2-x^2))+3
factoring the right:
((2x-a)/(x+a))-((x+3a)/(a-x))=(a^2/((a-x)(a+x)))+3
multiplying both sides by (a-x)(a+x):
((a-x)(2x-a))-((x+3a)(a+x)) = a^2+(3(a-x)(a+x))
expanding:
(2ax-2x^2-a^2+ax)-(ax+3a^2+x^2+3ax) = a^2+(3(a^2-x^2))
2ax-2x^2-a^2+ax-ax-3a^2-x^2-3ax = a^2 + 3a^2 - 3x^2
-3x^2-4a^2-ax = a^2 + 3a^2 - 3x^2
-ax = a^2 + 7a^2
0 = a^2 + -ax + 7a^2
0 = 8a^2 + -ax
ax = 8a^2
x = 8a
RELATED QUESTIONS
(4a + x)(a -... (answered by mathbird)

Please help me.The question is:- The expressions {{{ x^3-ax+a^2 }}} and {{{ ax^3+x^2-17... (answered by jim_thompson5910)

how to solve the following problems: -3(a+2)-a -2(x+3)+2x 4x-4(2+x) 8a-2(a-7)... (answered by solver91311)

(1/3 x 4/5)-(2/5 + 3/6) (2a-3a)-(4a+a)-(2a-a) 22.345 x 66.786... (answered by checkley77)

9ab/3a+6 x... (answered by mananth)

Solve for x in terms of a???? 4a^2x^2 + 8ax + 3 =... (answered by stanbon)

(-6x+5y)(4a)for... (answered by ptth176)

Please help me solve this equation:... (answered by edjones)