3(t^2-4)=24

Solution for 3(t^2-4)=24 equation:

Simplifying
3(t2 + -4) = 24

Reorder the terms:
3(-4 + t2) = 24
(-4 * 3 + t2 * 3) = 24
(-12 + 3t2) = 24

Solving
-12 + 3t2 = 24

Solving for variable 't'.

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

Add '12' to each side of the equation.
-12 + 12 + 3t2 = 24 + 12

Combine like terms: -12 + 12 = 0
0 + 3t2 = 24 + 12
3t2 = 24 + 12

Combine like terms: 24 + 12 = 36
3t2 = 36

Divide each side by '3'.
t2 = 12

Simplifying
t2 = 12

Take the square root of each side:
t = {-3.464101615, 3.464101615}