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Simplifying
870 = -16t2 + 1900
Reorder the terms:
870 = 1900 + -16t2
Solving
870 = 1900 + -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.
870 + 16t2 = 1900 + -16t2 + 16t2
Combine like terms: -16t2 + 16t2 = 0
870 + 16t2 = 1900 + 0
870 + 16t2 = 1900
Add '-870' to each side of the equation.
870 + -870 + 16t2 = 1900 + -870
Combine like terms: 870 + -870 = 0
0 + 16t2 = 1900 + -870
16t2 = 1900 + -870
Combine like terms: 1900 + -870 = 1030
16t2 = 1030
Divide each side by '16'.
t2 = 64.375
Simplifying
t2 = 64.375
Take the square root of each side:
t = {-8.023403268, 8.023403268}
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