-4(4t^2-225)=0

Solution for -4(4t^2-225)=0 equation:

Simplifying
-4(4t2 + -225) = 0

Reorder the terms:
-4(-225 + 4t2) = 0
(-225 * -4 + 4t2 * -4) = 0
(900 + -16t2) = 0

Solving
900 + -16t2 = 0

Solving for variable 't'.

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

Add '-900' to each side of the equation.
900 + -900 + -16t2 = 0 + -900

Combine like terms: 900 + -900 = 0
0 + -16t2 = 0 + -900
-16t2 = 0 + -900

Combine like terms: 0 + -900 = -900
-16t2 = -900

Divide each side by '-16'.
t2 = 56.25

Simplifying
t2 = 56.25

Take the square root of each side:
t = {-7.5, 7.5}