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Simplifying
(9t + -1)(9t + 1) = 0
Reorder the terms:
(-1 + 9t)(9t + 1) = 0
Reorder the terms:
(-1 + 9t)(1 + 9t) = 0
Multiply (-1 + 9t) * (1 + 9t)
(-1(1 + 9t) + 9t * (1 + 9t)) = 0
((1 * -1 + 9t * -1) + 9t * (1 + 9t)) = 0
((-1 + -9t) + 9t * (1 + 9t)) = 0
(-1 + -9t + (1 * 9t + 9t * 9t)) = 0
(-1 + -9t + (9t + 81t2)) = 0
Combine like terms: -9t + 9t = 0
(-1 + 0 + 81t2) = 0
(-1 + 81t2) = 0
Solving
-1 + 81t2 = 0
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '1' to each side of the equation.
-1 + 1 + 81t2 = 0 + 1
Combine like terms: -1 + 1 = 0
0 + 81t2 = 0 + 1
81t2 = 0 + 1
Combine like terms: 0 + 1 = 1
81t2 = 1
Divide each side by '81'.
t2 = 0.01234567901
Simplifying
t2 = 0.01234567901
Take the square root of each side:
t = {-0.111111111, 0.111111111}
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