35y^2-10y+3=0

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Solution for 35y^2-10y+3=0 equation: 


Simplifying
35y2 + -10y + 3 = 0

Reorder the terms:
3 + -10y + 35y2 = 0

Solving
3 + -10y + 35y2 = 0

Solving for variable 'y'.

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

Divide each side by '35'.
0.08571428571 + -0.2857142857y + y2 = 0

Move the constant term to the right:

Add '-0.08571428571' to each side of the equation.
0.08571428571 + -0.2857142857y + -0.08571428571 + y2 = 0 + -0.08571428571

Reorder the terms:
0.08571428571 + -0.08571428571 + -0.2857142857y + y2 = 0 + -0.08571428571

Combine like terms: 0.08571428571 + -0.08571428571 = 0.00000000000
0.00000000000 + -0.2857142857y + y2 = 0 + -0.08571428571
-0.2857142857y + y2 = 0 + -0.08571428571

Combine like terms: 0 + -0.08571428571 = -0.08571428571
-0.2857142857y + y2 = -0.08571428571

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 = -0.08571428571 + 0.02040816328

Reorder the terms:
0.02040816328 + -0.2857142857y + y2 = -0.08571428571 + 0.02040816328

Combine like terms: -0.08571428571 + 0.02040816328 = -0.06530612243
0.02040816328 + -0.2857142857y + y2 = -0.06530612243

Factor a perfect square on the left side:
(y + -0.1428571429)(y + -0.1428571429) = -0.06530612243

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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