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Simplifying
5 = -16t2 + 100
Reorder the terms:
5 = 100 + -16t2
Solving
5 = 100 + -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.
5 + 16t2 = 100 + -16t2 + 16t2
Combine like terms: -16t2 + 16t2 = 0
5 + 16t2 = 100 + 0
5 + 16t2 = 100
Add '-5' to each side of the equation.
5 + -5 + 16t2 = 100 + -5
Combine like terms: 5 + -5 = 0
0 + 16t2 = 100 + -5
16t2 = 100 + -5
Combine like terms: 100 + -5 = 95
16t2 = 95
Divide each side by '16'.
t2 = 5.9375
Simplifying
t2 = 5.9375
Take the square root of each side:
t = {-2.436698586, 2.436698586}
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