-1000=.5(-9.8)t^2

Solution for -1000=.5(-9.8)t^2 equation:

Simplifying
-1000 = 0.5(-9.8) * t2

Multiply 0.5 * -9.8
-1000 = -4.9t2

Solving
-1000 = -4.9t2

Solving for variable 't'.

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

Add '4.9t2' to each side of the equation.
-1000 + 4.9t2 = -4.9t2 + 4.9t2

Combine like terms: -4.9t2 + 4.9t2 = 0.0
-1000 + 4.9t2 = 0.0

Add '1000' to each side of the equation.
-1000 + 1000 + 4.9t2 = 0.0 + 1000

Combine like terms: -1000 + 1000 = 0
0 + 4.9t2 = 0.0 + 1000
4.9t2 = 0.0 + 1000

Combine like terms: 0.0 + 1000 = 1000
4.9t2 = 1000

Divide each side by '4.9'.
t2 = 204.0816327

Simplifying
t2 = 204.0816327

Take the square root of each side:
t = {-14.285714287, 14.285714287}