(3a^2-2a+4)=0

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


Simplifying
(3a2 + -2a + 4) = 0

Reorder the terms:
(4 + -2a + 3a2) = 0

Remove parenthesis around (4 + -2a + 3a2)
4 + -2a + 3a2 = 0

Solving
4 + -2a + 3a2 = 0

Solving for variable 'a'.

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

Divide each side by '3'.
1.333333333 + -0.6666666667a + a2 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + -0.6666666667a + -1.333333333 + a2 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + -0.6666666667a + a2 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + -0.6666666667a + a2 = 0 + -1.333333333
-0.6666666667a + a2 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
-0.6666666667a + a2 = -1.333333333

The a term is -0.6666666667a.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667a + 0.1111111112 + a2 = -1.333333333 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667a + a2 = -1.333333333 + 0.1111111112

Combine like terms: -1.333333333 + 0.1111111112 = -1.2222222218
0.1111111112 + -0.6666666667a + a2 = -1.2222222218

Factor a perfect square on the left side:
(a + -0.3333333334)(a + -0.3333333334) = -1.2222222218

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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