Final answer:
Equation (-8s+7)(9s-8)=0 is solved using the zero product property. Upon solving the two resulting equations, values possible for s are 7/8 and 8/9. Since those are not integers, it indicates a possible error in transcription or a misunderstanding of the instructions.
Step-by-step explanation:
To solve for s in the equation (-8s+7)(9s-8)=0, we use the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero.
Set each factor equal to zero:
- -8s + 7 = 0
- 9s - 8 = 0
Solve for s in each equation:
- Add 8s to both sides: 7 = 8s
- Divide by 8: s = 7/8
- Add 8 to both sides: 9s = 8
- Divide by 9: s = 8/9
Since 7/8 and 8/9 are not integers, we conclude that there is a mistake and correctly solve the equations again:
- For -8s + 7 = 0, subtract 7 from both sides to get -8s = -7. Then, divide both sides by -8 to find s = 7/8. However, 7/8 is not an integer.
- For 9s - 8 = 0, add 8 to both sides to get 9s = 8. Then, divide both sides by 9 to find s = 8/9. Again, 8/9 is not an integer.
Therefore, there must be an error as we are asked to give answers as integers, but neither 7/8 nor 8/9 are integers. We need to ensure there were no mistakes in original equation. If the factors were correctly provided, the solution should be provided in its simplest form even if they are not integers.
The complete question is: Solve for s. (-8s+7)(9s-8)=0 Write your answers as integers or a is: