72y^2-6y+1=0

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Solution for 72y^2-6y+1=0 equation:


Simplifying
72y2 + -6y + 1 = 0

Reorder the terms:
1 + -6y + 72y2 = 0

Solving
1 + -6y + 72y2 = 0

Solving for variable 'y'.

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

Divide each side by '72'.
0.01388888889 + -0.08333333333y + y2 = 0

Move the constant term to the right:

Add '-0.01388888889' to each side of the equation.
0.01388888889 + -0.08333333333y + -0.01388888889 + y2 = 0 + -0.01388888889

Reorder the terms:
0.01388888889 + -0.01388888889 + -0.08333333333y + y2 = 0 + -0.01388888889

Combine like terms: 0.01388888889 + -0.01388888889 = 0.00000000000
0.00000000000 + -0.08333333333y + y2 = 0 + -0.01388888889
-0.08333333333y + y2 = 0 + -0.01388888889

Combine like terms: 0 + -0.01388888889 = -0.01388888889
-0.08333333333y + y2 = -0.01388888889

The y term is -0.08333333333y.  Take half its coefficient (-0.04166666667).
Square it (0.001736111111) and add it to both sides.

Add '0.001736111111' to each side of the equation.
-0.08333333333y + 0.001736111111 + y2 = -0.01388888889 + 0.001736111111

Reorder the terms:
0.001736111111 + -0.08333333333y + y2 = -0.01388888889 + 0.001736111111

Combine like terms: -0.01388888889 + 0.001736111111 = -0.012152777779
0.001736111111 + -0.08333333333y + y2 = -0.012152777779

Factor a perfect square on the left side:
(y + -0.04166666667)(y + -0.04166666667) = -0.012152777779

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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