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Simplifying
42 = -16t2 + 60 + 6
Reorder the terms:
42 = 60 + 6 + -16t2
Combine like terms: 60 + 6 = 66
42 = 66 + -16t2
Solving
42 = 66 + -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.
42 + 16t2 = 66 + -16t2 + 16t2
Combine like terms: -16t2 + 16t2 = 0
42 + 16t2 = 66 + 0
42 + 16t2 = 66
Add '-42' to each side of the equation.
42 + -42 + 16t2 = 66 + -42
Combine like terms: 42 + -42 = 0
0 + 16t2 = 66 + -42
16t2 = 66 + -42
Combine like terms: 66 + -42 = 24
16t2 = 24
Divide each side by '16'.
t2 = 1.5
Simplifying
t2 = 1.5
Take the square root of each side:
t = {-1.224744871, 1.224744871}
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