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Simplifying
-16t2 + 20t + 5 = 20t
Reorder the terms:
5 + 20t + -16t2 = 20t
Add '-20t' to each side of the equation.
5 + 20t + -20t + -16t2 = 20t + -20t
Combine like terms: 20t + -20t = 0
5 + 0 + -16t2 = 20t + -20t
5 + -16t2 = 20t + -20t
Combine like terms: 20t + -20t = 0
5 + -16t2 = 0
Solving
5 + -16t2 = 0
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '-5' to each side of the equation.
5 + -5 + -16t2 = 0 + -5
Combine like terms: 5 + -5 = 0
0 + -16t2 = 0 + -5
-16t2 = 0 + -5
Combine like terms: 0 + -5 = -5
-16t2 = -5
Divide each side by '-16'.
t2 = 0.3125
Simplifying
t2 = 0.3125
Take the square root of each side:
t = {-0.559016994, 0.559016994}
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