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Simplifying
64 = -16t2 + 96 + 8
Reorder the terms:
64 = 96 + 8 + -16t2
Combine like terms: 96 + 8 = 104
64 = 104 + -16t2
Solving
64 = 104 + -16t2
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '16t2' to each side of the equation.
64 + 16t2 = 104 + -16t2 + 16t2
Combine like terms: -16t2 + 16t2 = 0
64 + 16t2 = 104 + 0
64 + 16t2 = 104
Add '-64' to each side of the equation.
64 + -64 + 16t2 = 104 + -64
Combine like terms: 64 + -64 = 0
0 + 16t2 = 104 + -64
16t2 = 104 + -64
Combine like terms: 104 + -64 = 40
16t2 = 40
Divide each side by '16'.
t2 = 2.5
Simplifying
t2 = 2.5
Take the square root of each side:
t = {-1.58113883, 1.58113883}
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