Question 419820
When a product {{{AB = 0}}} then either {{{A = 0}}} OR {{{B = 0}}}.

When you have a {{{quadratic_ expression = 0}}}, and {{{can}}}{{{ factor}}} it into two linear factors, then you have {{{exactly}}} that situation. 

Then you simply need to solve two linear equations in place of the quadratic equation.

So if you can factor a quadratic as {{{(3x-5)(2x+1)=0}}}..it has the same form as {{{AB = 0}}} and so

either {{{3x-5)=0))) ...{{{3x –5 = 0}}} OR {{{2x + 1 = 0}}}

Solving each of these you get that either

{{{x = + 5/3}}} OR {{{x = -1/2}}}