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Simplifying
81t2 + -36 = 0
Reorder the terms:
-36 + 81t2 = 0
Solving
-36 + 81t2 = 0
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '36' to each side of the equation.
-36 + 36 + 81t2 = 0 + 36
Combine like terms: -36 + 36 = 0
0 + 81t2 = 0 + 36
81t2 = 0 + 36
Combine like terms: 0 + 36 = 36
81t2 = 36
Divide each side by '81'.
t2 = 0.4444444444
Simplifying
t2 = 0.4444444444
Take the square root of each side:
t = {-0.666666667, 0.666666667}
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