Important phases of Newton's education and scientific work occurred in isolation. Why might this have been helpful to him? On the other hand, why is working in isolation problematic for developing scientific ideas?

Step-by-step explanation:

This might have been helpful to Newton as it allowed him to focus more clearly on his ideas. Newton was incredibly talented and ahead of his time in his field, which being in isolation helped him focus and develop on his ideas. This is not the case for the majority, most scientists tend to focus on a single aspect of a problem, usually the aspect that they have the most experience in. This can lead to them being blinded and not being able to see the possible solution. That is why working with others that are able to view the problem from a different perspective can help greatly.

a and c

for infinitely many solutions we require both left and right sides to be equal

distribute and simplify

a

14 - 8x = 20 - 8x - 6 = 14 - 8x ← both sides equal so infinite solutions

b

6x - 54 = 6x - 54 + x = 7x - 54 ← not equal

c

4x + 16 = 4x + 10 + 6 = 4x + 16 ← both sides equal so infinite solutions

d

5x - 40 + 10 = 5x + 10

5x - 30 = 5x + 10 ← not equal