Quadratic Equation: please sove

Solve the quadratic equation of x

(sin(2a)).x² - 2.x.(sin(a)+cos(a)) +2 =0

Kindly explain your answer.

Rewrite as and divide everything by 2:



Apparently this factors to

.

Solve for x.

Thanks for it Richard. I appreciate it but I still don't get it. Can you explain it further?

What step don't you get?

In the substitution.

Trig identity, for all .

Thanks!