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Simplifying
22 = -16t2 + 40
Reorder the terms:
22 = 40 + -16t2
Solving
22 = 40 + -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.
22 + 16t2 = 40 + -16t2 + 16t2
Combine like terms: -16t2 + 16t2 = 0
22 + 16t2 = 40 + 0
22 + 16t2 = 40
Add '-22' to each side of the equation.
22 + -22 + 16t2 = 40 + -22
Combine like terms: 22 + -22 = 0
0 + 16t2 = 40 + -22
16t2 = 40 + -22
Combine like terms: 40 + -22 = 18
16t2 = 18
Divide each side by '16'.
t2 = 1.125
Simplifying
t2 = 1.125
Take the square root of each side:
t = {-1.060660172, 1.060660172}
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