I am working on a worksheet for math and im stuck on this problem. its a rational equation and I know the answer but he told us to show our work. The answers are 1 and 7/2.
the problem is 4=(5m-5)/(7m)-(6m^2-50m+16)/(7m)
Can anyone help me out? please email me at chancehammond@bellsouth.net
thanks, chance

4=((5x-5)-(6x^2-50x+16))/(7x)
4=(5x-5-6x^2+50x-16)/(7x)
4=(-6x^2+55x-21)/(7x)
28x=-6x^2+55x-21
28x-55x= -6x^2-21
-27x = -6x^2-21
-6x^2+27x-21=0
-6*(x^2-27x/6+21/6)=0

-6*(x^2-27x/6+21/6) is zero, if (x^2-27x/6+21/6) is zero:

x1,2 = -p/2 +- sqrt( (p/2)^2 - q )
p = -27/6
q = 21/6
x1 = -(-27/6)/2 + sqrt( ((-27/6)/2)^2 - 21/6 )

x1 = 3.5 = 7/2

x2 = -(-27/6)/2 - sqrt( ((-27/6)/2)^2 - 21/6 )

x2 = 1