((8t^2)-578)=0

Solution for ((8t^2)-578)=0 equation:

Simplifying
((8t2) + -578) = 0

Reorder the terms:
(-578 + (8t2)) = 0

Remove parenthesis around (-578 + (8t2))
-578 + (8t2) = 0

Solving
-578 + (8t2) = 0

Solving for variable 't'.

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

Add '578' to each side of the equation.
-578 + 578 + (8t2) = 0 + 578

Combine like terms: -578 + 578 = 0
0 + (8t2) = 0 + 578
(8t2) = 0 + 578

Combine like terms: 0 + 578 = 578
(8t2) = 578

Divide each side by '8'.
t2 = 72.25

Simplifying
t2 = 72.25

Take the square root of each side:
t = {-8.5, 8.5}