12a^2-4a+3=0

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Solution for 12a^2-4a+3=0 equation:


Simplifying
12a2 + -4a + 3 = 0

Reorder the terms:
3 + -4a + 12a2 = 0

Solving
3 + -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'.
0.25 + -0.3333333333a + a2 = 0

Move the constant term to the right:

Add '-0.25' to each side of the equation.
0.25 + -0.3333333333a + -0.25 + a2 = 0 + -0.25

Reorder the terms:
0.25 + -0.25 + -0.3333333333a + a2 = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + -0.3333333333a + a2 = 0 + -0.25
-0.3333333333a + a2 = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25
-0.3333333333a + a2 = -0.25

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 = -0.25 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333a + a2 = -0.25 + 0.02777777779

Combine like terms: -0.25 + 0.02777777779 = -0.22222222221
0.02777777779 + -0.3333333333a + a2 = -0.22222222221

Factor a perfect square on the left side:
(a + -0.1666666667)(a + -0.1666666667) = -0.22222222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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