Solve for `x`: `9x^2-9(a+b)x+(2a^2+5ab+2b^2)=0`

Answer

`x=((a+2b))/(3)" or "x=((2a+b))/(3)`

Explanation

`9x^(2)-9(a+b)x+(2a+b(a+2b)=0`
`implies" "9x^(2)-3{(2a+b)+(a+2b)}x+(2a+b)(a+2b)=0`
`implies" "9x^(2)-3(2a+b)x-3(a+2b)x+(2a+b)(a+2b)=0.`