10xy-15x^2= 5xy(2x-3)factor out GCF

Answer 1

I can't decide if you want to factor the equation 10xy-15x^2= 5xy(2x-3) or if you
say the GCF of 10xy-15x^2 is 5xy(2x-3)

if it is the latter than the GCF of
10xy - 15x^2 is either 5x or (2y - 5x)
depending on the values of x and y.

if you want to factor the equation, then ...
10xy-15x^2 - 5xy(2x-3) = 0
10xy-15x^2 - 10x^2y + 15xy = 0
25xy - 10x^2y = 0
5xy(5 - 2x) = 0