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Simplifying
308 = -16t2 + 96 + 228
Reorder the terms:
308 = 96 + 228 + -16t2
Combine like terms: 96 + 228 = 324
308 = 324 + -16t2
Solving
308 = 324 + -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.
308 + 16t2 = 324 + -16t2 + 16t2
Combine like terms: -16t2 + 16t2 = 0
308 + 16t2 = 324 + 0
308 + 16t2 = 324
Add '-308' to each side of the equation.
308 + -308 + 16t2 = 324 + -308
Combine like terms: 308 + -308 = 0
0 + 16t2 = 324 + -308
16t2 = 324 + -308
Combine like terms: 324 + -308 = 16
16t2 = 16
Divide each side by '16'.
t2 = 1
Simplifying
t2 = 1
Take the square root of each side:
t = {-1, 1}
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