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Simplifying
64 = -16t2 + 64 + 4
Reorder the terms:
64 = 64 + 4 + -16t2
Combine like terms: 64 + 4 = 68
64 = 68 + -16t2
Solving
64 = 68 + -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 = 68 + -16t2 + 16t2
Combine like terms: -16t2 + 16t2 = 0
64 + 16t2 = 68 + 0
64 + 16t2 = 68
Add '-64' to each side of the equation.
64 + -64 + 16t2 = 68 + -64
Combine like terms: 64 + -64 = 0
0 + 16t2 = 68 + -64
16t2 = 68 + -64
Combine like terms: 68 + -64 = 4
16t2 = 4
Divide each side by '16'.
t2 = 0.25
Simplifying
t2 = 0.25
Take the square root of each side:
t = {-0.5, 0.5}
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