14y^2-4y+3=0

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Solution for 14y^2-4y+3=0 equation: 


Simplifying
14y2 + -4y + 3 = 0

Reorder the terms:
3 + -4y + 14y2 = 0

Solving
3 + -4y + 14y2 = 0

Solving for variable 'y'.

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

Divide each side by '14'.
0.2142857143 + -0.2857142857y + y2 = 0

Move the constant term to the right:

Add '-0.2142857143' to each side of the equation.
0.2142857143 + -0.2857142857y + -0.2142857143 + y2 = 0 + -0.2142857143

Reorder the terms:
0.2142857143 + -0.2142857143 + -0.2857142857y + y2 = 0 + -0.2142857143

Combine like terms: 0.2142857143 + -0.2142857143 = 0.0000000000
0.0000000000 + -0.2857142857y + y2 = 0 + -0.2142857143
-0.2857142857y + y2 = 0 + -0.2142857143

Combine like terms: 0 + -0.2142857143 = -0.2142857143
-0.2857142857y + y2 = -0.2142857143

The y term is -0.2857142857y.  Take half its coefficient (-0.1428571429).
Square it (0.02040816328) and add it to both sides.

Add '0.02040816328' to each side of the equation.
-0.2857142857y + 0.02040816328 + y2 = -0.2142857143 + 0.02040816328

Reorder the terms:
0.02040816328 + -0.2857142857y + y2 = -0.2142857143 + 0.02040816328

Combine like terms: -0.2142857143 + 0.02040816328 = -0.19387755102
0.02040816328 + -0.2857142857y + y2 = -0.19387755102

Factor a perfect square on the left side:
(y + -0.1428571429)(y + -0.1428571429) = -0.19387755102

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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