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Simplifying
50 = -16t2 + 100
Reorder the terms:
50 = 100 + -16t2
Solving
50 = 100 + -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.
50 + 16t2 = 100 + -16t2 + 16t2
Combine like terms: -16t2 + 16t2 = 0
50 + 16t2 = 100 + 0
50 + 16t2 = 100
Add '-50' to each side of the equation.
50 + -50 + 16t2 = 100 + -50
Combine like terms: 50 + -50 = 0
0 + 16t2 = 100 + -50
16t2 = 100 + -50
Combine like terms: 100 + -50 = 50
16t2 = 50
Divide each side by '16'.
t2 = 3.125
Simplifying
t2 = 3.125
Take the square root of each side:
t = {-1.767766953, 1.767766953}
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