How do I solve Algebra Equation (2x-1) (x+3)=0?

According to the Zero Product Principle, if either of the expressions within the parenthesis is equal to zero, the entire thing will be zero. In simpler terms 0*[anything]=0

So, we have two ways to get a solution for **x**: 2x-1=0, and x+3=0

2x-1=0 +1 both sides

2x=1 /2 both sides

**x= ^{1}/_{2} **

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**x+3=0 -3 both sides

**x=-3**

We have two solutions: x=1/2, and x=-3