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Simplifying
-16t2 + 175 + 500 = 0
Reorder the terms:
175 + 500 + -16t2 = 0
Combine like terms: 175 + 500 = 675
675 + -16t2 = 0
Solving
675 + -16t2 = 0
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '-675' to each side of the equation.
675 + -675 + -16t2 = 0 + -675
Combine like terms: 675 + -675 = 0
0 + -16t2 = 0 + -675
-16t2 = 0 + -675
Combine like terms: 0 + -675 = -675
-16t2 = -675
Divide each side by '-16'.
t2 = 42.1875
Simplifying
t2 = 42.1875
Take the square root of each side:
t = {-6.495190528, 6.495190528}
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