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Simplifying
1000 = -16t2 + 1600
Reorder the terms:
1000 = 1600 + -16t2
Solving
1000 = 1600 + -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.
1000 + 16t2 = 1600 + -16t2 + 16t2
Combine like terms: -16t2 + 16t2 = 0
1000 + 16t2 = 1600 + 0
1000 + 16t2 = 1600
Add '-1000' to each side of the equation.
1000 + -1000 + 16t2 = 1600 + -1000
Combine like terms: 1000 + -1000 = 0
0 + 16t2 = 1600 + -1000
16t2 = 1600 + -1000
Combine like terms: 1600 + -1000 = 600
16t2 = 600
Divide each side by '16'.
t2 = 37.5
Simplifying
t2 = 37.5
Take the square root of each side:
t = {-6.123724357, 6.123724357}
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