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Simplifying
48 = -16t2 + 96
Reorder the terms:
48 = 96 + -16t2
Solving
48 = 96 + -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.
48 + 16t2 = 96 + -16t2 + 16t2
Combine like terms: -16t2 + 16t2 = 0
48 + 16t2 = 96 + 0
48 + 16t2 = 96
Add '-48' to each side of the equation.
48 + -48 + 16t2 = 96 + -48
Combine like terms: 48 + -48 = 0
0 + 16t2 = 96 + -48
16t2 = 96 + -48
Combine like terms: 96 + -48 = 48
16t2 = 48
Divide each side by '16'.
t2 = 3
Simplifying
t2 = 3
Take the square root of each side:
t = {-1.732050808, 1.732050808}
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