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Simplifying
7 = -16t2 + 16 + 3
Reorder the terms:
7 = 16 + 3 + -16t2
Combine like terms: 16 + 3 = 19
7 = 19 + -16t2
Solving
7 = 19 + -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.
7 + 16t2 = 19 + -16t2 + 16t2
Combine like terms: -16t2 + 16t2 = 0
7 + 16t2 = 19 + 0
7 + 16t2 = 19
Add '-7' to each side of the equation.
7 + -7 + 16t2 = 19 + -7
Combine like terms: 7 + -7 = 0
0 + 16t2 = 19 + -7
16t2 = 19 + -7
Combine like terms: 19 + -7 = 12
16t2 = 12
Divide each side by '16'.
t2 = 0.75
Simplifying
t2 = 0.75
Take the square root of each side:
t = {-0.866025404, 0.866025404}
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