SOLUTION: how is this rational problem done? x over x+12 = 2 over x+4

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: how is this rational problem done? x over x+12 = 2 over x+4       Log On


   



Question 211010: how is this rational problem done?
x over x+12 = 2 over x+4

Answer by padmameesala(42) About Me  (Show Source):
You can put this solution on YOUR website!
x
------ = 2/(x+4)
x+12
cross multiply
x(x+4) = 2(x+12)
x^2+4x=2x+24
x^2+2x-24=0
-24 factors into 6 and -4 which add up to give the middle term coefficient 4
x^2+6x-4x-24=0
X(x+6)-4(x+6)=0
(x+6)(x-4)=0
x=-6,4
hope you will understand