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Simplifying
-16t2 + 80 + 3.5 = 0
Reorder the terms:
80 + 3.5 + -16t2 = 0
Combine like terms: 80 + 3.5 = 83.5
83.5 + -16t2 = 0
Solving
83.5 + -16t2 = 0
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '-83.5' to each side of the equation.
83.5 + -83.5 + -16t2 = 0 + -83.5
Combine like terms: 83.5 + -83.5 = 0.0
0.0 + -16t2 = 0 + -83.5
-16t2 = 0 + -83.5
Combine like terms: 0 + -83.5 = -83.5
-16t2 = -83.5
Divide each side by '-16'.
t2 = 5.21875
Simplifying
t2 = 5.21875
Take the square root of each side:
t = {-2.28445836, 2.28445836}
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