15y^2-2y+7=0

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Solution for 15y^2-2y+7=0 equation:


Simplifying
15y2 + -2y + 7 = 0

Reorder the terms:
7 + -2y + 15y2 = 0

Solving
7 + -2y + 15y2 = 0

Solving for variable 'y'.

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

Divide each side by '15'.
0.4666666667 + -0.1333333333y + y2 = 0

Move the constant term to the right:

Add '-0.4666666667' to each side of the equation.
0.4666666667 + -0.1333333333y + -0.4666666667 + y2 = 0 + -0.4666666667

Reorder the terms:
0.4666666667 + -0.4666666667 + -0.1333333333y + y2 = 0 + -0.4666666667

Combine like terms: 0.4666666667 + -0.4666666667 = 0.0000000000
0.0000000000 + -0.1333333333y + y2 = 0 + -0.4666666667
-0.1333333333y + y2 = 0 + -0.4666666667

Combine like terms: 0 + -0.4666666667 = -0.4666666667
-0.1333333333y + y2 = -0.4666666667

The y term is -0.1333333333y.  Take half its coefficient (-0.06666666665).
Square it (0.004444444442) and add it to both sides.

Add '0.004444444442' to each side of the equation.
-0.1333333333y + 0.004444444442 + y2 = -0.4666666667 + 0.004444444442

Reorder the terms:
0.004444444442 + -0.1333333333y + y2 = -0.4666666667 + 0.004444444442

Combine like terms: -0.4666666667 + 0.004444444442 = -0.462222222258
0.004444444442 + -0.1333333333y + y2 = -0.462222222258

Factor a perfect square on the left side:
(y + -0.06666666665)(y + -0.06666666665) = -0.462222222258

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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