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Simplifying
30 = -16t2 + 30 + 6
Reorder the terms:
30 = 30 + 6 + -16t2
Combine like terms: 30 + 6 = 36
30 = 36 + -16t2
Solving
30 = 36 + -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.
30 + 16t2 = 36 + -16t2 + 16t2
Combine like terms: -16t2 + 16t2 = 0
30 + 16t2 = 36 + 0
30 + 16t2 = 36
Add '-30' to each side of the equation.
30 + -30 + 16t2 = 36 + -30
Combine like terms: 30 + -30 = 0
0 + 16t2 = 36 + -30
16t2 = 36 + -30
Combine like terms: 36 + -30 = 6
16t2 = 6
Divide each side by '16'.
t2 = 0.375
Simplifying
t2 = 0.375
Take the square root of each side:
t = {-0.612372436, 0.612372436}
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