-4(4t^2-289)=0

Solution for -4(4t^2-289)=0 equation:

Simplifying
-4(4t2 + -289) = 0

Reorder the terms:
-4(-289 + 4t2) = 0
(-289 * -4 + 4t2 * -4) = 0
(1156 + -16t2) = 0

Solving
1156 + -16t2 = 0

Solving for variable 't'.

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

Add '-1156' to each side of the equation.
1156 + -1156 + -16t2 = 0 + -1156

Combine like terms: 1156 + -1156 = 0
0 + -16t2 = 0 + -1156
-16t2 = 0 + -1156

Combine like terms: 0 + -1156 = -1156
-16t2 = -1156

Divide each side by '-16'.
t2 = 72.25

Simplifying
t2 = 72.25

Take the square root of each side:
t = {-8.5, 8.5}