-4(4t^2-49)=0

Solution for -4(4t^2-49)=0 equation:

Simplifying
-4(4t2 + -49) = 0

Reorder the terms:
-4(-49 + 4t2) = 0
(-49 * -4 + 4t2 * -4) = 0
(196 + -16t2) = 0

Solving
196 + -16t2 = 0

Solving for variable 't'.

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

Add '-196' to each side of the equation.
196 + -196 + -16t2 = 0 + -196

Combine like terms: 196 + -196 = 0
0 + -16t2 = 0 + -196
-16t2 = 0 + -196

Combine like terms: 0 + -196 = -196
-16t2 = -196

Divide each side by '-16'.
t2 = 12.25

Simplifying
t2 = 12.25

Take the square root of each side:
t = {-3.5, 3.5}