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Simplifying
8 = -16t2 + 56 + 40
Reorder the terms:
8 = 56 + 40 + -16t2
Combine like terms: 56 + 40 = 96
8 = 96 + -16t2
Solving
8 = 96 + -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.
8 + 16t2 = 96 + -16t2 + 16t2
Combine like terms: -16t2 + 16t2 = 0
8 + 16t2 = 96 + 0
8 + 16t2 = 96
Add '-8' to each side of the equation.
8 + -8 + 16t2 = 96 + -8
Combine like terms: 8 + -8 = 0
0 + 16t2 = 96 + -8
16t2 = 96 + -8
Combine like terms: 96 + -8 = 88
16t2 = 88
Divide each side by '16'.
t2 = 5.5
Simplifying
t2 = 5.5
Take the square root of each side:
t = {-2.34520788, 2.34520788}
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