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Simplifying
0 = -16t2 + 90 + 160
Reorder the terms:
0 = 90 + 160 + -16t2
Combine like terms: 90 + 160 = 250
0 = 250 + -16t2
Solving
0 = 250 + -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.
0 + 16t2 = 250 + -16t2 + 16t2
Remove the zero:
16t2 = 250 + -16t2 + 16t2
Combine like terms: -16t2 + 16t2 = 0
16t2 = 250 + 0
16t2 = 250
Divide each side by '16'.
t2 = 15.625
Simplifying
t2 = 15.625
Take the square root of each side:
t = {-3.952847075, 3.952847075}
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