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Simplifying
200 = -16t2 + 400
Reorder the terms:
200 = 400 + -16t2
Solving
200 = 400 + -16t2
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '16t2' to each side of the equation.
200 + 16t2 = 400 + -16t2 + 16t2
Combine like terms: -16t2 + 16t2 = 0
200 + 16t2 = 400 + 0
200 + 16t2 = 400
Add '-200' to each side of the equation.
200 + -200 + 16t2 = 400 + -200
Combine like terms: 200 + -200 = 0
0 + 16t2 = 400 + -200
16t2 = 400 + -200
Combine like terms: 400 + -200 = 200
16t2 = 200
Divide each side by '16'.
t2 = 12.5
Simplifying
t2 = 12.5
Take the square root of each side:
t = {-3.535533906, 3.535533906}
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