14y^2-12y+3=0

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Solution for 14y^2-12y+3=0 equation:


Simplifying
14y2 + -12y + 3 = 0

Reorder the terms:
3 + -12y + 14y2 = 0

Solving
3 + -12y + 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 + -0.8571428571y + y2 = 0

Move the constant term to the right:

Add '-0.2142857143' to each side of the equation.
0.2142857143 + -0.8571428571y + -0.2142857143 + y2 = 0 + -0.2142857143

Reorder the terms:
0.2142857143 + -0.2142857143 + -0.8571428571y + y2 = 0 + -0.2142857143

Combine like terms: 0.2142857143 + -0.2142857143 = 0.0000000000
0.0000000000 + -0.8571428571y + y2 = 0 + -0.2142857143
-0.8571428571y + y2 = 0 + -0.2142857143

Combine like terms: 0 + -0.2142857143 = -0.2142857143
-0.8571428571y + y2 = -0.2142857143

The y term is -0.8571428571y.  Take half its coefficient (-0.4285714286).
Square it (0.1836734694) and add it to both sides.

Add '0.1836734694' to each side of the equation.
-0.8571428571y + 0.1836734694 + y2 = -0.2142857143 + 0.1836734694

Reorder the terms:
0.1836734694 + -0.8571428571y + y2 = -0.2142857143 + 0.1836734694

Combine like terms: -0.2142857143 + 0.1836734694 = -0.0306122449
0.1836734694 + -0.8571428571y + y2 = -0.0306122449

Factor a perfect square on the left side:
(y + -0.4285714286)(y + -0.4285714286) = -0.0306122449

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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