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Simplifying
(12a + 1)(12a + -1) = 0
Reorder the terms:
(1 + 12a)(12a + -1) = 0
Reorder the terms:
(1 + 12a)(-1 + 12a) = 0
Multiply (1 + 12a) * (-1 + 12a)
(1(-1 + 12a) + 12a * (-1 + 12a)) = 0
((-1 * 1 + 12a * 1) + 12a * (-1 + 12a)) = 0
((-1 + 12a) + 12a * (-1 + 12a)) = 0
(-1 + 12a + (-1 * 12a + 12a * 12a)) = 0
(-1 + 12a + (-12a + 144a2)) = 0
Combine like terms: 12a + -12a = 0
(-1 + 0 + 144a2) = 0
(-1 + 144a2) = 0
Solving
-1 + 144a2 = 0
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '1' to each side of the equation.
-1 + 1 + 144a2 = 0 + 1
Combine like terms: -1 + 1 = 0
0 + 144a2 = 0 + 1
144a2 = 0 + 1
Combine like terms: 0 + 1 = 1
144a2 = 1
Divide each side by '144'.
a2 = 0.006944444444
Simplifying
a2 = 0.006944444444
Take the square root of each side:
a = {-0.083333333, 0.083333333}
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