SOLUTION: under which condition is quadratic equation can be factorable where a is not equal to zero

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Question 852753: under which condition is quadratic equation can be factorable where a is not equal to zero
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
ax%5E2%2Bbx%2Bc=0, factorable if b%5E2-4ac=0.

Your specification that ax%5E2%2Bbx%2Bc%3C%3E0 is not an obstacle because, if you have a quadratic equation, ax%5E2%2Bbx%2Bu=v with v%3C%3E0, then you can add the additive inverse of v to both sides:
ax%5E2%2Bbx%2Bu-v=v%2B%28-v%29
ax%5E2%2Bbx%2Bu-v=0
and for all practical purposes, u-v=c, so you still have:
ax%5E2%2Bbx%2Bc=0.