14y^2-9y+5=0

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Solution for 14y^2-9y+5=0 equation:


Simplifying
14y2 + -9y + 5 = 0

Reorder the terms:
5 + -9y + 14y2 = 0

Solving
5 + -9y + 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'.
0.3571428571 + -0.6428571429y + y2 = 0

Move the constant term to the right:

Add '-0.3571428571' to each side of the equation.
0.3571428571 + -0.6428571429y + -0.3571428571 + y2 = 0 + -0.3571428571

Reorder the terms:
0.3571428571 + -0.3571428571 + -0.6428571429y + y2 = 0 + -0.3571428571

Combine like terms: 0.3571428571 + -0.3571428571 = 0.0000000000
0.0000000000 + -0.6428571429y + y2 = 0 + -0.3571428571
-0.6428571429y + y2 = 0 + -0.3571428571

Combine like terms: 0 + -0.3571428571 = -0.3571428571
-0.6428571429y + y2 = -0.3571428571

The y term is -0.6428571429y.  Take half its coefficient (-0.3214285715).
Square it (0.1033163266) and add it to both sides.

Add '0.1033163266' to each side of the equation.
-0.6428571429y + 0.1033163266 + y2 = -0.3571428571 + 0.1033163266

Reorder the terms:
0.1033163266 + -0.6428571429y + y2 = -0.3571428571 + 0.1033163266

Combine like terms: -0.3571428571 + 0.1033163266 = -0.2538265305
0.1033163266 + -0.6428571429y + y2 = -0.2538265305

Factor a perfect square on the left side:
(y + -0.3214285715)(y + -0.3214285715) = -0.2538265305

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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