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Simplifying
16t2 + -46 + -9 = 0
Reorder the terms:
-46 + -9 + 16t2 = 0
Combine like terms: -46 + -9 = -55
-55 + 16t2 = 0
Solving
-55 + 16t2 = 0
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '55' to each side of the equation.
-55 + 55 + 16t2 = 0 + 55
Combine like terms: -55 + 55 = 0
0 + 16t2 = 0 + 55
16t2 = 0 + 55
Combine like terms: 0 + 55 = 55
16t2 = 55
Divide each side by '16'.
t2 = 3.4375
Simplifying
t2 = 3.4375
Take the square root of each side:
t = {-1.854049622, 1.854049622}
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