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

Question

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

Answer 1

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 

 

x+3=0          -3 both sides
x=-3

 

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