Question

(8r-5)(9r+7)=0 Write your answers as integers, proper or improper fractions in simplest form,

Answer 1

To solve the equation (8r-5)(9r+7)=0, use the Zero Product Property to set each factor equal to zero and solve for r, resulting in r being 5/8 and -7/9 after simplification.

Step-by-step explanation:

To solve the equation (8r-5)(9r+7)=0, you need to apply the Zero Product Property, which states that if a product of two factors is zero, then at least one of the factors must be zero. Therefore, we can set each factor equal to zero and solve for r.

1. Set the first factor equal to zero: 8r - 5 = 0. Add 5 to both sides to get 8r = 5. Then divide by 8 to solve for r, which gives us r = 5/8.
2. Set the second factor equal to zero: 9r + 7 = 0. Subtract 7 from both sides to get 9r = -7. Then divide by 9 to solve for r, which gives us r = -7/9.

After solving, you need to simplify the algebra and then check the answer to see if it is reasonable.