Question 78125
Solve and check the following equations for x.


{{{5/((x+6))}}} + {{{2/((x^2+7x+6))}}} = {{{3/((x+1))}}}
:
{{{5/((x+6))}}} + {{{2/((x+1)(x+6))}}} = {{{3/((x+1))}}}: factored (x^2+7x+6)
:
Multiply thru by (x+6)(x+1) and you have:
5(x+1) + 2 = 3(x+6)
:
5x + 5 + 2 = 3x + 18
:
5x + 7 = 3x + 18
:
5x - 3x = 18 - 7
:
2x = 11
:
x = 11/2 = 5.5
:
I'll let you check it: substitute 5.5 for x in the original equation.