(x%2B4)%3D0-solve-for-x.jpeg "(2x-1)(x+4)=0 Solve For X")
Solving the Equation (2x-1)(x+4) = 0
This equation is in a factored form, which makes solving for x quite straightforward. Here's how to do it:
Understanding the Zero Product Property
The Zero Product Property states that if the product of two or more factors is zero, then at least one of the factors must be zero.
In our equation, we have two factors: (2x-1) and (x+4). For the product to be zero, one or both of these factors must equal zero.
Solving for x
-
Factor 1: (2x-1) = 0
- Add 1 to both sides: 2x = 1
- Divide both sides by 2: x = 1/2
-
Factor 2: (x+4) = 0
- Subtract 4 from both sides: x = -4
Solutions
Therefore, the solutions to the equation (2x-1)(x+4) = 0 are x = 1/2 and x = -4.