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Simplifying
(6t + -1)(6t + 1) = 0
Reorder the terms:
(-1 + 6t)(6t + 1) = 0
Reorder the terms:
(-1 + 6t)(1 + 6t) = 0
Multiply (-1 + 6t) * (1 + 6t)
(-1(1 + 6t) + 6t * (1 + 6t)) = 0
((1 * -1 + 6t * -1) + 6t * (1 + 6t)) = 0
((-1 + -6t) + 6t * (1 + 6t)) = 0
(-1 + -6t + (1 * 6t + 6t * 6t)) = 0
(-1 + -6t + (6t + 36t2)) = 0
Combine like terms: -6t + 6t = 0
(-1 + 0 + 36t2) = 0
(-1 + 36t2) = 0
Solving
-1 + 36t2 = 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 + 36t2 = 0 + 1
Combine like terms: -1 + 1 = 0
0 + 36t2 = 0 + 1
36t2 = 0 + 1
Combine like terms: 0 + 1 = 1
36t2 = 1
Divide each side by '36'.
t2 = 0.02777777778
Simplifying
t2 = 0.02777777778
Take the square root of each side:
t = {-0.166666667, 0.166666667}
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