5y-13y^2=10

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Solution for 5y-13y^2=10 equation: 


Simplifying
5y + -13y2 = 10

Solving
5y + -13y2 = 10

Solving for variable 'y'.

Reorder the terms:
-10 + 5y + -13y2 = 10 + -10

Combine like terms: 10 + -10 = 0
-10 + 5y + -13y2 = 0

Begin completing the square.  Divide all terms by
-13 the coefficient of the squared term: 

Divide each side by '-13'.
0.7692307692 + -0.3846153846y + y2 = 0

Move the constant term to the right:

Add '-0.7692307692' to each side of the equation.
0.7692307692 + -0.3846153846y + -0.7692307692 + y2 = 0 + -0.7692307692

Reorder the terms:
0.7692307692 + -0.7692307692 + -0.3846153846y + y2 = 0 + -0.7692307692

Combine like terms: 0.7692307692 + -0.7692307692 = 0.0000000000
0.0000000000 + -0.3846153846y + y2 = 0 + -0.7692307692
-0.3846153846y + y2 = 0 + -0.7692307692

Combine like terms: 0 + -0.7692307692 = -0.7692307692
-0.3846153846y + y2 = -0.7692307692

The y term is -0.3846153846y.  Take half its coefficient (-0.1923076923).
Square it (0.03698224852) and add it to both sides.

Add '0.03698224852' to each side of the equation.
-0.3846153846y + 0.03698224852 + y2 = -0.7692307692 + 0.03698224852

Reorder the terms:
0.03698224852 + -0.3846153846y + y2 = -0.7692307692 + 0.03698224852

Combine like terms: -0.7692307692 + 0.03698224852 = -0.73224852068
0.03698224852 + -0.3846153846y + y2 = -0.73224852068

Factor a perfect square on the left side:
(y + -0.1923076923)(y + -0.1923076923) = -0.73224852068

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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