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Simplifying
12.64 = -16t2 + 32
Reorder the terms:
12.64 = 32 + -16t2
Solving
12.64 = 32 + -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.
12.64 + 16t2 = 32 + -16t2 + 16t2
Combine like terms: -16t2 + 16t2 = 0
12.64 + 16t2 = 32 + 0
12.64 + 16t2 = 32
Add '-12.64' to each side of the equation.
12.64 + -12.64 + 16t2 = 32 + -12.64
Combine like terms: 12.64 + -12.64 = 0.00
0.00 + 16t2 = 32 + -12.64
16t2 = 32 + -12.64
Combine like terms: 32 + -12.64 = 19.36
16t2 = 19.36
Divide each side by '16'.
t2 = 1.21
Simplifying
t2 = 1.21
Take the square root of each side:
t = {-1.1, 1.1}
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