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Simplifying
54 = -16t2 + 64 + 6
Reorder the terms:
54 = 64 + 6 + -16t2
Combine like terms: 64 + 6 = 70
54 = 70 + -16t2
Solving
54 = 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.
54 + 16t2 = 70 + -16t2 + 16t2
Combine like terms: -16t2 + 16t2 = 0
54 + 16t2 = 70 + 0
54 + 16t2 = 70
Add '-54' to each side of the equation.
54 + -54 + 16t2 = 70 + -54
Combine like terms: 54 + -54 = 0
0 + 16t2 = 70 + -54
16t2 = 70 + -54
Combine like terms: 70 + -54 = 16
16t2 = 16
Divide each side by '16'.
t2 = 1
Simplifying
t2 = 1
Take the square root of each side:
t = {-1, 1}
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