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Simplifying
8t2 + 2t2 + -3 = 0
Reorder the terms:
-3 + 8t2 + 2t2 = 0
Combine like terms: 8t2 + 2t2 = 10t2
-3 + 10t2 = 0
Solving
-3 + 10t2 = 0
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + 10t2 = 0 + 3
Combine like terms: -3 + 3 = 0
0 + 10t2 = 0 + 3
10t2 = 0 + 3
Combine like terms: 0 + 3 = 3
10t2 = 3
Divide each side by '10'.
t2 = 0.3
Simplifying
t2 = 0.3
Take the square root of each side:
t = {-0.547722558, 0.547722558}
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