please show all work how does 5x5x566 become 5x65x110 Given

please show all work. how does 5^x(5^x+5)=66 become (5^x-6)(5^x+11)=0

Given 25^x + 5^x+1 - 66 = 0 5^x(5^x + 5) = 66 (5^x-6)(5^x+11)=0 5^x = 6

5^x(5^x+5)=66

=> 5^x(5^x+5)-66 = 0

=> 5^2x+5*5^x-66 = 0

let 5^x = y

therefore, y^2+5y-66 = 0

=> (y-6) (y+11)=0