16t^2+1000-8400=0

Solution for 16t^2+1000-8400=0 equation:

Simplifying
16t2 + 1000 + -8400 = 0

Reorder the terms:
1000 + -8400 + 16t2 = 0

Combine like terms: 1000 + -8400 = -7400
-7400 + 16t2 = 0

Solving
-7400 + 16t2 = 0

Solving for variable 't'.

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

Add '7400' to each side of the equation.
-7400 + 7400 + 16t2 = 0 + 7400

Combine like terms: -7400 + 7400 = 0
0 + 16t2 = 0 + 7400
16t2 = 0 + 7400

Combine like terms: 0 + 7400 = 7400
16t2 = 7400

Divide each side by '16'.
t2 = 462.5

Simplifying
t2 = 462.5

Take the square root of each side:
t = {-21.505813168, 21.505813168}