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When the equation is a polynomial whose highest order (power) is 2. Eg. y= x2 + 2x + 10. Then you can use quadratic formula to solve if factoring is not possible.
The discriminant
Four? Factoring Graphing Quadratic Equation Completing the Square There may be more, but there's at least four.
The discriminant for the quadratic is b2-4ac = 302 - 4*4*45 = 900 - 720 = 180 Since 180 is not a perfect square, the roots of the equation are irrational and it is far from straightforward to solve such an equation by factoring.
(3x+4)(3x-4)=0 x=±4/3