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Simplifying
3000 = -16t2 + 5000
Reorder the terms:
3000 = 5000 + -16t2
Solving
3000 = 5000 + -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.
3000 + 16t2 = 5000 + -16t2 + 16t2
Combine like terms: -16t2 + 16t2 = 0
3000 + 16t2 = 5000 + 0
3000 + 16t2 = 5000
Add '-3000' to each side of the equation.
3000 + -3000 + 16t2 = 5000 + -3000
Combine like terms: 3000 + -3000 = 0
0 + 16t2 = 5000 + -3000
16t2 = 5000 + -3000
Combine like terms: 5000 + -3000 = 2000
16t2 = 2000
Divide each side by '16'.
t2 = 125
Simplifying
t2 = 125
Take the square root of each side:
t = {-11.180339887, 11.180339887}
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