40=0.8t^2

Solution for 40=0.8t^2 equation:

Simplifying
40 = 0.8t2

Solving
40 = 0.8t2

Solving for variable 't'.

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

Add '-0.8t2' to each side of the equation.
40 + -0.8t2 = 0.8t2 + -0.8t2

Combine like terms: 0.8t2 + -0.8t2 = 0.0
40 + -0.8t2 = 0.0

Add '-40' to each side of the equation.
40 + -40 + -0.8t2 = 0.0 + -40

Combine like terms: 40 + -40 = 0
0 + -0.8t2 = 0.0 + -40
-0.8t2 = 0.0 + -40

Combine like terms: 0.0 + -40 = -40
-0.8t2 = -40

Divide each side by '-0.8'.
t2 = 50

Simplifying
t2 = 50

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