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Simplifying
15 = -16t2 + 20
Reorder the terms:
15 = 20 + -16t2
Solving
15 = 20 + -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.
15 + 16t2 = 20 + -16t2 + 16t2
Combine like terms: -16t2 + 16t2 = 0
15 + 16t2 = 20 + 0
15 + 16t2 = 20
Add '-15' to each side of the equation.
15 + -15 + 16t2 = 20 + -15
Combine like terms: 15 + -15 = 0
0 + 16t2 = 20 + -15
16t2 = 20 + -15
Combine like terms: 20 + -15 = 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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