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Simplifying
6 = -16t2 + 70
Reorder the terms:
6 = 70 + -16t2
Solving
6 = 70 + -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.
6 + 16t2 = 70 + -16t2 + 16t2
Combine like terms: -16t2 + 16t2 = 0
6 + 16t2 = 70 + 0
6 + 16t2 = 70
Add '-6' to each side of the equation.
6 + -6 + 16t2 = 70 + -6
Combine like terms: 6 + -6 = 0
0 + 16t2 = 70 + -6
16t2 = 70 + -6
Combine like terms: 70 + -6 = 64
16t2 = 64
Divide each side by '16'.
t2 = 4
Simplifying
t2 = 4
Take the square root of each side:
t = {-2, 2}
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