5y^2+13y=9y-3

Solution for 5y^2+13y=9y-3 equation:

Simplifying
5y2 + 13y = 9y + -3

Reorder the terms:
13y + 5y2 = 9y + -3

Reorder the terms:
13y + 5y2 = -3 + 9y

Solving
13y + 5y2 = -3 + 9y

Solving for variable 'y'.

Reorder the terms:
3 + 13y + -9y + 5y2 = -3 + 9y + 3 + -9y

Combine like terms: 13y + -9y = 4y
3 + 4y + 5y2 = -3 + 9y + 3 + -9y

Reorder the terms:
3 + 4y + 5y2 = -3 + 3 + 9y + -9y

Combine like terms: -3 + 3 = 0
3 + 4y + 5y2 = 0 + 9y + -9y
3 + 4y + 5y2 = 9y + -9y

Combine like terms: 9y + -9y = 0
3 + 4y + 5y2 = 0

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

Divide each side by '5'.
0.6 + 0.8y + y2 = 0

Move the constant term to the right:

Add '-0.6' to each side of the equation.
0.6 + 0.8y + -0.6 + y2 = 0 + -0.6

Reorder the terms:
0.6 + -0.6 + 0.8y + y2 = 0 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 0.8y + y2 = 0 + -0.6
0.8y + y2 = 0 + -0.6

Combine like terms: 0 + -0.6 = -0.6
0.8y + y2 = -0.6

The y term is 0.8y.  Take half its coefficient (0.4).
Square it (0.16) and add it to both sides.

Add '0.16' to each side of the equation.
0.8y + 0.16 + y2 = -0.6 + 0.16

Reorder the terms:
0.16 + 0.8y + y2 = -0.6 + 0.16

Combine like terms: -0.6 + 0.16 = -0.44
0.16 + 0.8y + y2 = -0.44

Factor a perfect square on the left side:
(y + 0.4)(y + 0.4) = -0.44

Can't calculate square root of the right side.

The solution to this equation could not be determined.