How to factorize this quadratic? How do i factorize this equation: $a(b-c)x^2 + b(c-a)x + c(b-a) = 0$ I tried the quadratic formula, but the discriminant is not factorising into a perfect square. Please help!--prophetes.ai

How to factorize this quadratic? How do i factorize this equation: $a(b-c)x^2 + b(c-a)x + c(b-a) = 0$ I tried the quadratic formula, but the discriminant is not factorising into a perfect square. Please help!

HINT:

Observe that $$a(b-c)-c(b-a)=-b(c-a)$$

Put the value of $b(c-a),$ and take out common from the first two terms & the last two terms and see what happens?