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Simplifying
16 + -16t2 + 196 = 0
Reorder the terms:
16 + 196 + -16t2 = 0
Combine like terms: 16 + 196 = 212
212 + -16t2 = 0
Solving
212 + -16t2 = 0
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '-212' to each side of the equation.
212 + -212 + -16t2 = 0 + -212
Combine like terms: 212 + -212 = 0
0 + -16t2 = 0 + -212
-16t2 = 0 + -212
Combine like terms: 0 + -212 = -212
-16t2 = -212
Divide each side by '-16'.
t2 = 13.25
Simplifying
t2 = 13.25
Take the square root of each side:
t = {-3.640054945, 3.640054945}
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