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Simplifying
16t2 + -324 = 0
Reorder the terms:
-324 + 16t2 = 0
Solving
-324 + 16t2 = 0
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '324' to each side of the equation.
-324 + 324 + 16t2 = 0 + 324
Combine like terms: -324 + 324 = 0
0 + 16t2 = 0 + 324
16t2 = 0 + 324
Combine like terms: 0 + 324 = 324
16t2 = 324
Divide each side by '16'.
t2 = 20.25
Simplifying
t2 = 20.25
Take the square root of each side:
t = {-4.5, 4.5}
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