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Simplifying
16t2 + -48 + 36 = 0
Reorder the terms:
-48 + 36 + 16t2 = 0
Combine like terms: -48 + 36 = -12
-12 + 16t2 = 0
Solving
-12 + 16t2 = 0
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '12' to each side of the equation.
-12 + 12 + 16t2 = 0 + 12
Combine like terms: -12 + 12 = 0
0 + 16t2 = 0 + 12
16t2 = 0 + 12
Combine like terms: 0 + 12 = 12
16t2 = 12
Divide each side by '16'.
t2 = 0.75
Simplifying
t2 = 0.75
Take the square root of each side:
t = {-0.866025404, 0.866025404}
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