(x%2B3)-0.jpeg "(x-4)(x+3) 0")
Solving the Equation (x-4)(x+3) = 0
This equation represents a quadratic expression set equal to zero. To solve for the values of 'x' that satisfy the equation, we can utilize the Zero Product Property. This property states that if the product of two or more factors is zero, then at least one of the factors must be zero.
Let's break down the equation:
- (x-4)(x+3) = 0
We have two factors: (x-4) and (x+3). For the product of these factors to be zero, one or both of them must be equal to zero.
Case 1: (x - 4) = 0
- Solving for x:
- x = 4
Case 2: (x + 3) = 0
- Solving for x:
- x = -3
Therefore, the solutions to the equation (x-4)(x+3) = 0 are x = 4 and x = -3.
These solutions represent the x-intercepts of the quadratic function represented by the expression (x-4)(x+3). In other words, the graph of the function will cross the x-axis at the points (4, 0) and (-3, 0).