Question 269237
5x^2-11x+2=0 
my answer is (5x-1)(x-2)

This is correct so far. To find the solutions for the original equation you need to set each factor equal to zero(remember that a*b = 0 if and only if a = 0 and/or b = 0).

So you need to solve for x in:

5x - 1 = 0

and

x - 2 = 0

These two values of x are the solutions for the original equation.