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Simplifying
-16t2 + 32 + 48 = 0
Reorder the terms:
32 + 48 + -16t2 = 0
Combine like terms: 32 + 48 = 80
80 + -16t2 = 0
Solving
80 + -16t2 = 0
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '-80' to each side of the equation.
80 + -80 + -16t2 = 0 + -80
Combine like terms: 80 + -80 = 0
0 + -16t2 = 0 + -80
-16t2 = 0 + -80
Combine like terms: 0 + -80 = -80
-16t2 = -80
Divide each side by '-16'.
t2 = 5
Simplifying
t2 = 5
Take the square root of each side:
t = {-2.236067978, 2.236067978}
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