-2(t^2+4)=-87.38

Solution for -2(t^2+4)=-87.38 equation:

Simplifying
-2(t2 + 4) = -87.38

Reorder the terms:
-2(4 + t2) = -87.38
(4 * -2 + t2 * -2) = -87.38
(-8 + -2t2) = -87.38

Solving
-8 + -2t2 = -87.38

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '8' to each side of the equation.
-8 + 8 + -2t2 = -87.38 + 8

Combine like terms: -8 + 8 = 0
0 + -2t2 = -87.38 + 8
-2t2 = -87.38 + 8

Combine like terms: -87.38 + 8 = -79.38
-2t2 = -79.38

Divide each side by '-2'.
t2 = 39.69

Simplifying
t2 = 39.69

Take the square root of each side:
t = {-6.3, 6.3}