Final answer:
To solve the equation ta1(a+8)=3-a1, distribute ta1 and combine like terms. Then, factor the equation and set it equal to zero. In this case, there is no solution.
Step-by-step explanation:
The equation ta1(a+8)=3-a1 can be solved by first distributing ta1 across the parentheses to get ta + 8ta1 = 3 - a1. Then, we can combine like terms by subtracting 8ta1 from both sides to get ta - 8ta1 = 3 - a1 - 8ta1. Next, we can combine like terms again on the right side by subtracting a1 and 8ta1 to get ta - 9ta1 = 3 - 9a1. Finally, we can factor out ta1 on the left side to get ta(1 - 9a) = 3 - 9a1. To solve for a, we need to set the equation equal to 0 and then factor further:
ta(1 - 9a) - (3 - 9a1) = 0
ta - 9ta^2 - 3 + 9a1 = 0
-9ta^2 + ta + 3 - 9a1 = 0
At this point, the equation does not have a clear solution. Therefore, the answer is (c) There is no solution.