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Simplifying
(8t + -1)(8t + 1) = 0
Reorder the terms:
(-1 + 8t)(8t + 1) = 0
Reorder the terms:
(-1 + 8t)(1 + 8t) = 0
Multiply (-1 + 8t) * (1 + 8t)
(-1(1 + 8t) + 8t * (1 + 8t)) = 0
((1 * -1 + 8t * -1) + 8t * (1 + 8t)) = 0
((-1 + -8t) + 8t * (1 + 8t)) = 0
(-1 + -8t + (1 * 8t + 8t * 8t)) = 0
(-1 + -8t + (8t + 64t2)) = 0
Combine like terms: -8t + 8t = 0
(-1 + 0 + 64t2) = 0
(-1 + 64t2) = 0
Solving
-1 + 64t2 = 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 + 64t2 = 0 + 1
Combine like terms: -1 + 1 = 0
0 + 64t2 = 0 + 1
64t2 = 0 + 1
Combine like terms: 0 + 1 = 1
64t2 = 1
Divide each side by '64'.
t2 = 0.015625
Simplifying
t2 = 0.015625
Take the square root of each side:
t = {-0.125, 0.125}
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