(x%2B5)(2x-3)%3D0.jpeg "(x-7)(x+5)(2x-3)=0")
Solving the Equation (x-7)(x+5)(2x-3) = 0
This equation represents a cubic polynomial set equal to zero. To find the solutions, we can utilize the Zero Product Property: If the product of multiple factors is zero, then at least one of those factors must be zero.
Let's break down the equation and solve for each factor:
Factor 1: (x-7) = 0
- Add 7 to both sides: x = 7
Factor 2: (x+5) = 0
- Subtract 5 from both sides: x = -5
Factor 3: (2x-3) = 0
- Add 3 to both sides: 2x = 3
- Divide both sides by 2: x = 3/2
Therefore, the solutions to the equation (x-7)(x+5)(2x-3) = 0 are x = 7, x = -5, and x = 3/2.
These solutions represent the x-intercepts of the cubic function represented by the equation.