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Simplifying
0 = -16t2 + 32 + 48
Reorder the terms:
0 = 32 + 48 + -16t2
Combine like terms: 32 + 48 = 80
0 = 80 + -16t2
Solving
0 = 80 + -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.
0 + 16t2 = 80 + -16t2 + 16t2
Remove the zero:
16t2 = 80 + -16t2 + 16t2
Combine like terms: -16t2 + 16t2 = 0
16t2 = 80 + 0
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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