5y^2+9y=13y-6

Solution for 5y^2+9y=13y-6 equation:

Simplifying
5y2 + 9y = 13y + -6

Reorder the terms:
9y + 5y2 = 13y + -6

Reorder the terms:
9y + 5y2 = -6 + 13y

Solving
9y + 5y2 = -6 + 13y

Solving for variable 'y'.

Reorder the terms:
6 + 9y + -13y + 5y2 = -6 + 13y + 6 + -13y

Combine like terms: 9y + -13y = -4y
6 + -4y + 5y2 = -6 + 13y + 6 + -13y

Reorder the terms:
6 + -4y + 5y2 = -6 + 6 + 13y + -13y

Combine like terms: -6 + 6 = 0
6 + -4y + 5y2 = 0 + 13y + -13y
6 + -4y + 5y2 = 13y + -13y

Combine like terms: 13y + -13y = 0
6 + -4y + 5y2 = 0

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

Divide each side by '5'.
1.2 + -0.8y + y2 = 0

Move the constant term to the right:

Add '-1.2' to each side of the equation.
1.2 + -0.8y + -1.2 + y2 = 0 + -1.2

Reorder the terms:
1.2 + -1.2 + -0.8y + y2 = 0 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + -0.8y + y2 = 0 + -1.2
-0.8y + y2 = 0 + -1.2

Combine like terms: 0 + -1.2 = -1.2
-0.8y + y2 = -1.2

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 = -1.2 + 0.16

Reorder the terms:
0.16 + -0.8y + y2 = -1.2 + 0.16

Combine like terms: -1.2 + 0.16 = -1.04
0.16 + -0.8y + y2 = -1.04

Factor a perfect square on the left side:
(y + -0.4)(y + -0.4) = -1.04

Can't calculate square root of the right side.

The solution to this equation could not be determined.