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Simplifying
5 = -16t2 + 261
Reorder the terms:
5 = 261 + -16t2
Solving
5 = 261 + -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.
5 + 16t2 = 261 + -16t2 + 16t2
Combine like terms: -16t2 + 16t2 = 0
5 + 16t2 = 261 + 0
5 + 16t2 = 261
Add '-5' to each side of the equation.
5 + -5 + 16t2 = 261 + -5
Combine like terms: 5 + -5 = 0
0 + 16t2 = 261 + -5
16t2 = 261 + -5
Combine like terms: 261 + -5 = 256
16t2 = 256
Divide each side by '16'.
t2 = 16
Simplifying
t2 = 16
Take the square root of each side:
t = {-4, 4}
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