Solve: `2x^2+a x-a^2=0`

Answer

`x=-a" or "x=(a)/(2)`

Explanation

`2x^(2)+ax-a^(2)=0implies2x^(2)+2ax-ax-a^(2)=0`
`implies2x(x+a)-a(x+a)=0`
`implies(x+a)(2x-a)=0impliesx=-a" or "x=(a)/(2).`