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Simplifying
6t2 + -96 = 0
Reorder the terms:
-96 + 6t2 = 0
Solving
-96 + 6t2 = 0
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '96' to each side of the equation.
-96 + 96 + 6t2 = 0 + 96
Combine like terms: -96 + 96 = 0
0 + 6t2 = 0 + 96
6t2 = 0 + 96
Combine like terms: 0 + 96 = 96
6t2 = 96
Divide each side by '6'.
t2 = 16
Simplifying
t2 = 16
Take the square root of each side:
t = {-4, 4}
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