12a^2-4a+1=0

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Solution for 12a^2-4a+1=0 equation: 


Simplifying
12a2 + -4a + 1 = 0

Reorder the terms:
1 + -4a + 12a2 = 0

Solving
1 + -4a + 12a2 = 0

Solving for variable 'a'.

Begin completing the square.  Divide all terms by
12 the coefficient of the squared term: 

Divide each side by '12'.
0.08333333333 + -0.3333333333a + a2 = 0

Move the constant term to the right:

Add '-0.08333333333' to each side of the equation.
0.08333333333 + -0.3333333333a + -0.08333333333 + a2 = 0 + -0.08333333333

Reorder the terms:
0.08333333333 + -0.08333333333 + -0.3333333333a + a2 = 0 + -0.08333333333

Combine like terms: 0.08333333333 + -0.08333333333 = 0.00000000000
0.00000000000 + -0.3333333333a + a2 = 0 + -0.08333333333
-0.3333333333a + a2 = 0 + -0.08333333333

Combine like terms: 0 + -0.08333333333 = -0.08333333333
-0.3333333333a + a2 = -0.08333333333

The a term is -0.3333333333a.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333a + 0.02777777779 + a2 = -0.08333333333 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333a + a2 = -0.08333333333 + 0.02777777779

Combine like terms: -0.08333333333 + 0.02777777779 = -0.05555555554
0.02777777779 + -0.3333333333a + a2 = -0.05555555554

Factor a perfect square on the left side:
(a + -0.1666666667)(a + -0.1666666667) = -0.05555555554

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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