15y^2-13y+7=

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Solution for 15y^2-13y+7= equation: 


Simplifying
15y2 + -13y + 7 = 0

Reorder the terms:
7 + -13y + 15y2 = 0

Solving
7 + -13y + 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 + -0.8666666667y + y2 = 0

Move the constant term to the right:

Add '-0.4666666667' to each side of the equation.
0.4666666667 + -0.8666666667y + -0.4666666667 + y2 = 0 + -0.4666666667

Reorder the terms:
0.4666666667 + -0.4666666667 + -0.8666666667y + y2 = 0 + -0.4666666667

Combine like terms: 0.4666666667 + -0.4666666667 = 0.0000000000
0.0000000000 + -0.8666666667y + y2 = 0 + -0.4666666667
-0.8666666667y + y2 = 0 + -0.4666666667

Combine like terms: 0 + -0.4666666667 = -0.4666666667
-0.8666666667y + y2 = -0.4666666667

The y term is -0.8666666667y.  Take half its coefficient (-0.4333333334).
Square it (0.1877777778) and add it to both sides.

Add '0.1877777778' to each side of the equation.
-0.8666666667y + 0.1877777778 + y2 = -0.4666666667 + 0.1877777778

Reorder the terms:
0.1877777778 + -0.8666666667y + y2 = -0.4666666667 + 0.1877777778

Combine like terms: -0.4666666667 + 0.1877777778 = -0.2788888889
0.1877777778 + -0.8666666667y + y2 = -0.2788888889

Factor a perfect square on the left side:
(y + -0.4333333334)(y + -0.4333333334) = -0.2788888889

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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