2t^2-100=0

Solution for 2t^2-100=0 equation:

Simplifying
2t2 + -100 = 0

Reorder the terms:
-100 + 2t2 = 0

Solving
-100 + 2t2 = 0

Solving for variable 't'.

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

Add '100' to each side of the equation.
-100 + 100 + 2t2 = 0 + 100

Combine like terms: -100 + 100 = 0
0 + 2t2 = 0 + 100
2t2 = 0 + 100

Combine like terms: 0 + 100 = 100
2t2 = 100

Divide each side by '2'.
t2 = 50

Simplifying
t2 = 50

Take the square root of each side:
t = {-7.071067812, 7.071067812}