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Simplifying
3 = -16t2 + 575
Reorder the terms:
3 = 575 + -16t2
Solving
3 = 575 + -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.
3 + 16t2 = 575 + -16t2 + 16t2
Combine like terms: -16t2 + 16t2 = 0
3 + 16t2 = 575 + 0
3 + 16t2 = 575
Add '-3' to each side of the equation.
3 + -3 + 16t2 = 575 + -3
Combine like terms: 3 + -3 = 0
0 + 16t2 = 575 + -3
16t2 = 575 + -3
Combine like terms: 575 + -3 = 572
16t2 = 572
Divide each side by '16'.
t2 = 35.75
Simplifying
t2 = 35.75
Take the square root of each side:
t = {-5.979130372, 5.979130372}
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