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Simplifying
2t2 + -9 + -4 = 0
Reorder the terms:
-9 + -4 + 2t2 = 0
Combine like terms: -9 + -4 = -13
-13 + 2t2 = 0
Solving
-13 + 2t2 = 0
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '13' to each side of the equation.
-13 + 13 + 2t2 = 0 + 13
Combine like terms: -13 + 13 = 0
0 + 2t2 = 0 + 13
2t2 = 0 + 13
Combine like terms: 0 + 13 = 13
2t2 = 13
Divide each side by '2'.
t2 = 6.5
Simplifying
t2 = 6.5
Take the square root of each side:
t = {-2.549509757, 2.549509757}
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