4(4t^2-484)=0

Solution for 4(4t^2-484)=0 equation:

Simplifying
4(4t2 + -484) = 0

Reorder the terms:
4(-484 + 4t2) = 0
(-484 * 4 + 4t2 * 4) = 0
(-1936 + 16t2) = 0

Solving
-1936 + 16t2 = 0

Solving for variable 't'.

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

Add '1936' to each side of the equation.
-1936 + 1936 + 16t2 = 0 + 1936

Combine like terms: -1936 + 1936 = 0
0 + 16t2 = 0 + 1936
16t2 = 0 + 1936

Combine like terms: 0 + 1936 = 1936
16t2 = 1936

Divide each side by '16'.
t2 = 121

Simplifying
t2 = 121

Take the square root of each side:
t = {-11, 11}