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Simplifying
500 = -4.9t2 + 1000
Reorder the terms:
500 = 1000 + -4.9t2
Solving
500 = 1000 + -4.9t2
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '4.9t2' to each side of the equation.
500 + 4.9t2 = 1000 + -4.9t2 + 4.9t2
Combine like terms: -4.9t2 + 4.9t2 = 0.0
500 + 4.9t2 = 1000 + 0.0
500 + 4.9t2 = 1000
Add '-500' to each side of the equation.
500 + -500 + 4.9t2 = 1000 + -500
Combine like terms: 500 + -500 = 0
0 + 4.9t2 = 1000 + -500
4.9t2 = 1000 + -500
Combine like terms: 1000 + -500 = 500
4.9t2 = 500
Divide each side by '4.9'.
t2 = 102.0408163
Simplifying
t2 = 102.0408163
Take the square root of each side:
t = {-10.101525444, 10.101525444}
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