-3(t^2-36)=0

Solution for -3(t^2-36)=0 equation:

Simplifying
-3(t2 + -36) = 0

Reorder the terms:
-3(-36 + t2) = 0
(-36 * -3 + t2 * -3) = 0
(108 + -3t2) = 0

Solving
108 + -3t2 = 0

Solving for variable 't'.

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

Add '-108' to each side of the equation.
108 + -108 + -3t2 = 0 + -108

Combine like terms: 108 + -108 = 0
0 + -3t2 = 0 + -108
-3t2 = 0 + -108

Combine like terms: 0 + -108 = -108
-3t2 = -108

Divide each side by '-3'.
t2 = 36

Simplifying
t2 = 36

Take the square root of each side:
t = {-6, 6}