Final answer:
To solve the quadratic equation (x-4)(x+9)=0, we apply the Zero Product Property, setting each factor equal to zero. The solutions are x = 4 and x = -9.
Step-by-step explanation:
To solve the equation (x-4)(x+9)=0 using the Zero Product Property, we set each factor equal to zero and solve for x. The Zero Product Property states that if a product of factors equals zero, then at least one of the factors must be zero.
Step-by-step Solution:
Set the first factor equal to zero: x - 4 = 0. Solving this gives x = 4.
Set the second factor equal to zero: x + 9 = 0. Solving this gives x = -9.
Hence, the solutions to the equation are x = 4 and x = -9.