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Simplifying
-16t2 + 96 + 256 = 0
Reorder the terms:
96 + 256 + -16t2 = 0
Combine like terms: 96 + 256 = 352
352 + -16t2 = 0
Solving
352 + -16t2 = 0
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '-352' to each side of the equation.
352 + -352 + -16t2 = 0 + -352
Combine like terms: 352 + -352 = 0
0 + -16t2 = 0 + -352
-16t2 = 0 + -352
Combine like terms: 0 + -352 = -352
-16t2 = -352
Divide each side by '-16'.
t2 = 22
Simplifying
t2 = 22
Take the square root of each side:
t = {-4.69041576, 4.69041576}
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