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Simplifying
12 = -16t2 + 24 + 3
Reorder the terms:
12 = 24 + 3 + -16t2
Combine like terms: 24 + 3 = 27
12 = 27 + -16t2
Solving
12 = 27 + -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.
12 + 16t2 = 27 + -16t2 + 16t2
Combine like terms: -16t2 + 16t2 = 0
12 + 16t2 = 27 + 0
12 + 16t2 = 27
Add '-12' to each side of the equation.
12 + -12 + 16t2 = 27 + -12
Combine like terms: 12 + -12 = 0
0 + 16t2 = 27 + -12
16t2 = 27 + -12
Combine like terms: 27 + -12 = 15
16t2 = 15
Divide each side by '16'.
t2 = 0.9375
Simplifying
t2 = 0.9375
Take the square root of each side:
t = {-0.968245837, 0.968245837}
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