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Simplifying
9t2 + -92 + 20 = 0
Reorder the terms:
-92 + 20 + 9t2 = 0
Combine like terms: -92 + 20 = -72
-72 + 9t2 = 0
Solving
-72 + 9t2 = 0
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '72' to each side of the equation.
-72 + 72 + 9t2 = 0 + 72
Combine like terms: -72 + 72 = 0
0 + 9t2 = 0 + 72
9t2 = 0 + 72
Combine like terms: 0 + 72 = 72
9t2 = 72
Divide each side by '9'.
t2 = 8
Simplifying
t2 = 8
Take the square root of each side:
t = {-2.828427125, 2.828427125}
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