Question 135227
No! All quadratic equations are not factorable.  When they are not factorable, theay are called prime. Examples:
{{{5x^2+2x-3 = 0}}} This is factorable! 
{{{(5x-3)(x+1) = 0}}}
{{{5x^2-2x+3 = 0}}} This is prime!
However, all quadratic equations can be solved by:
a) Using the quadratic formula:{{{x = (-b+-sqrt(b^2-4ac))/2a}}}
b) Using the "completing-the-square" method.