How do you solve this? x/5=x+6/x-2

Question

anonymous · Answer

Yes these can definitively be tricky.

Almost always do these first two steps
1) kill the fractions!!!
2) isolate x on one side
Usually it will take you a couple of trys.

x/5 = x+6/x-2
x = 5x+30 / x-2               multiply by 5 on each side
x(x-2) = 5x +30                multiply by x-2 on each side
x^2-2x = 5x+30               simplify
x^2-2x-5x = 30                subtract 5x on each side
x^2-7x = 30                      simplify
x^2-7x-30=0                      subtract 30 on each side
(x-10)*(x+3) = 0                 factor
x =10 and x =-3


here i factored. Im not sure if you know how to or not. If you dont then at the part where i factored use the quadratic formula instead