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Simplifying
100 = -16t2 + 400
Reorder the terms:
100 = 400 + -16t2
Solving
100 = 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.
100 + 16t2 = 400 + -16t2 + 16t2
Combine like terms: -16t2 + 16t2 = 0
100 + 16t2 = 400 + 0
100 + 16t2 = 400
Add '-100' to each side of the equation.
100 + -100 + 16t2 = 400 + -100
Combine like terms: 100 + -100 = 0
0 + 16t2 = 400 + -100
16t2 = 400 + -100
Combine like terms: 400 + -100 = 300
16t2 = 300
Divide each side by '16'.
t2 = 18.75
Simplifying
t2 = 18.75
Take the square root of each side:
t = {-4.330127019, 4.330127019}
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