SOLUTION: Could you show me how to solve this equation, I know the answer , thanks to my calculator , but I do not know how to get to that stage x+1 6 _____ +

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Could you show me how to solve this equation, I know the answer , thanks to my calculator , but I do not know how to get to that stage x+1 6 _____ +       Log On


   

Question 95266: Could you show me how to solve this equation, I know the answer , thanks to my calculator , but I do not know how to get to that stage
x+1 6
_____ + ______ = 0
x 2x-3
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
:
%28%28x%2B1%29%29%2Fx + 6%2F%28%282x-3%29%29 = 0
:
Multiply thru by x(2x-3) and you have:
:
(2x-3)(x+1) + 6x = 0
:
FOIL
2x^2 + 2x - 3x - 3 + 6x = 0
:
2x^2 + 5x - 3 = 0
:
Factor:
(2x - 1)(x + 3) = 0
:
2x = +1
x = 1/2
and
x = -3
:
Substitute both solutions to confirm our solutions