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Simplifying
5 = -16t2 + 30
Reorder the terms:
5 = 30 + -16t2
Solving
5 = 30 + -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.
5 + 16t2 = 30 + -16t2 + 16t2
Combine like terms: -16t2 + 16t2 = 0
5 + 16t2 = 30 + 0
5 + 16t2 = 30
Add '-5' to each side of the equation.
5 + -5 + 16t2 = 30 + -5
Combine like terms: 5 + -5 = 0
0 + 16t2 = 30 + -5
16t2 = 30 + -5
Combine like terms: 30 + -5 = 25
16t2 = 25
Divide each side by '16'.
t2 = 1.5625
Simplifying
t2 = 1.5625
Take the square root of each side:
t = {-1.25, 1.25}
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