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Simplifying
16t2 + 96 + 12 = 120
Reorder the terms:
96 + 12 + 16t2 = 120
Combine like terms: 96 + 12 = 108
108 + 16t2 = 120
Solving
108 + 16t2 = 120
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '-108' to each side of the equation.
108 + -108 + 16t2 = 120 + -108
Combine like terms: 108 + -108 = 0
0 + 16t2 = 120 + -108
16t2 = 120 + -108
Combine like terms: 120 + -108 = 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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