#### Answer

no real solutions

#### Work Step by Step

When taking the square root of a number, you get a positive and a negative answer. Before taking the square root, isolate the variable on one side. Since we would be taking the square root of a negative number, there are no real solutions.
$-4(t+3)^2-100=0$
$-4(t+3)^2=100$
$(t+3)^2=-25$
no real solutions