Question 139405
<pre>
I need to solve this equation and state any extraneous solutions. When it says over,
it's a fraction. I didn't know how else to put it.
a over 3a+6
minus
a over 5a+10
equals 2 over 5
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<font face = tahoma><font size = 4><font color = blue><b>The LCD is simply 3(5)(a + 2), NOT what the other person states. As a result,
the quadratic equation formula is NOT needed here, as he/she believes.  

{{{a/(3a + 6) - a/(5a + 10) = 2/5}}} ====> {{{a/3(a + 2) - a/5(a + 2) = 2/5}}}, with {{{a <> - 2}}}
         5a - 3a = 2(3)(a + 2) ---- Multiplying by LCD, 3(5)(a + 2)
                 2a = 6a + 12
         2a - 6a = 12
              - 4a = 12
                   {{{highlight(a = 12/(- 4) = - 3)}}}</pre>