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Simplifying
-5 = -16t2 + 65
Reorder the terms:
-5 = 65 + -16t2
Solving
-5 = 65 + -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 = 65 + -16t2 + 16t2
Combine like terms: -16t2 + 16t2 = 0
-5 + 16t2 = 65 + 0
-5 + 16t2 = 65
Add '5' to each side of the equation.
-5 + 5 + 16t2 = 65 + 5
Combine like terms: -5 + 5 = 0
0 + 16t2 = 65 + 5
16t2 = 65 + 5
Combine like terms: 65 + 5 = 70
16t2 = 70
Divide each side by '16'.
t2 = 4.375
Simplifying
t2 = 4.375
Take the square root of each side:
t = {-2.091650066, 2.091650066}
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