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Simplifying
16t2 + -202 + 82 = 0
Reorder the terms:
-202 + 82 + 16t2 = 0
Combine like terms: -202 + 82 = -120
-120 + 16t2 = 0
Solving
-120 + 16t2 = 0
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '120' to each side of the equation.
-120 + 120 + 16t2 = 0 + 120
Combine like terms: -120 + 120 = 0
0 + 16t2 = 0 + 120
16t2 = 0 + 120
Combine like terms: 0 + 120 = 120
16t2 = 120
Divide each side by '16'.
t2 = 7.5
Simplifying
t2 = 7.5
Take the square root of each side:
t = {-2.738612788, 2.738612788}
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