SOLUTION: {{{4x/(x+1)+x=(-6)/(x+1)}}}

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Question 622825: 4x%2F%28x%2B1%29%2Bx=%28-6%29%2F%28x%2B1%29
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
4x%2F%28x%2B1%29%2Bx=%28-6%29%2F%28x%2B1%29
multiply both sides by (x+1), clear the denominators, results:
4x + x(x+1) = -6
4x + x^2 + x = -6
Arrange as a quadratic equation
x^2 + 5x + 6 = 0
Factors to
(x+3)(x+2) = 0
two solutions
x = -3
and x = -2
;
:
Check solution of x=-3 in the original problem
4%28-3%29%2F%28-3%2B1%29-3=%28-6%29%2F%28-3%2B1%29
%28-12%29%2F%28-2%29-3=%28-6%29%2F%28-2%29
+6 - 3 = +3; confirms our solution of x=-3
:
You can can check the x=-2 solution yourself