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Simplifying
0.2 = -16t2 + 9
Reorder the terms:
0.2 = 9 + -16t2
Solving
0.2 = 9 + -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.
0.2 + 16t2 = 9 + -16t2 + 16t2
Combine like terms: -16t2 + 16t2 = 0
0.2 + 16t2 = 9 + 0
0.2 + 16t2 = 9
Add '-0.2' to each side of the equation.
0.2 + -0.2 + 16t2 = 9 + -0.2
Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 16t2 = 9 + -0.2
16t2 = 9 + -0.2
Combine like terms: 9 + -0.2 = 8.8
16t2 = 8.8
Divide each side by '16'.
t2 = 0.55
Simplifying
t2 = 0.55
Take the square root of each side:
t = {-0.741619849, 0.741619849}
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