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Simplifying
20 = -16t2 + 20 + 50
Reorder the terms:
20 = 20 + 50 + -16t2
Combine like terms: 20 + 50 = 70
20 = 70 + -16t2
Solving
20 = 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.
20 + 16t2 = 70 + -16t2 + 16t2
Combine like terms: -16t2 + 16t2 = 0
20 + 16t2 = 70 + 0
20 + 16t2 = 70
Add '-20' to each side of the equation.
20 + -20 + 16t2 = 70 + -20
Combine like terms: 20 + -20 = 0
0 + 16t2 = 70 + -20
16t2 = 70 + -20
Combine like terms: 70 + -20 = 50
16t2 = 50
Divide each side by '16'.
t2 = 3.125
Simplifying
t2 = 3.125
Take the square root of each side:
t = {-1.767766953, 1.767766953}
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