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Simplifying
(7a + -1)(7a + 1) = 0
Reorder the terms:
(-1 + 7a)(7a + 1) = 0
Reorder the terms:
(-1 + 7a)(1 + 7a) = 0
Multiply (-1 + 7a) * (1 + 7a)
(-1(1 + 7a) + 7a * (1 + 7a)) = 0
((1 * -1 + 7a * -1) + 7a * (1 + 7a)) = 0
((-1 + -7a) + 7a * (1 + 7a)) = 0
(-1 + -7a + (1 * 7a + 7a * 7a)) = 0
(-1 + -7a + (7a + 49a2)) = 0
Combine like terms: -7a + 7a = 0
(-1 + 0 + 49a2) = 0
(-1 + 49a2) = 0
Solving
-1 + 49a2 = 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 + 49a2 = 0 + 1
Combine like terms: -1 + 1 = 0
0 + 49a2 = 0 + 1
49a2 = 0 + 1
Combine like terms: 0 + 1 = 1
49a2 = 1
Divide each side by '49'.
a2 = 0.02040816327
Simplifying
a2 = 0.02040816327
Take the square root of each side:
a = {-0.142857143, 0.142857143}
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