0.3333333y^2=0.4444444y-0.3333333

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Solution for 0.3333333y^2=0.4444444y-0.3333333 equation: 


Simplifying
0.3333333y2 = 0.4444444y + -0.3333333

Reorder the terms:
0.3333333y2 = -0.3333333 + 0.4444444y

Solving
0.3333333y2 = -0.3333333 + 0.4444444y

Solving for variable 'y'.

Reorder the terms:
0.3333333 + -0.4444444y + 0.3333333y2 = -0.3333333 + 0.4444444y + 0.3333333 + -0.4444444y

Reorder the terms:
0.3333333 + -0.4444444y + 0.3333333y2 = -0.3333333 + 0.3333333 + 0.4444444y + -0.4444444y

Combine like terms: -0.3333333 + 0.3333333 = 0.0000000
0.3333333 + -0.4444444y + 0.3333333y2 = 0.0000000 + 0.4444444y + -0.4444444y
0.3333333 + -0.4444444y + 0.3333333y2 = 0.4444444y + -0.4444444y

Combine like terms: 0.4444444y + -0.4444444y = 0.0000000
0.3333333 + -0.4444444y + 0.3333333y2 = 0.0000000

Begin completing the square.  Divide all terms by
0.3333333 the coefficient of the squared term: 

Divide each side by '0.3333333'.
1 + -1.333333333y + y2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -1.333333333y + -1 + y2 = 0 + -1

Reorder the terms:
1 + -1 + -1.333333333y + y2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1.333333333y + y2 = 0 + -1
-1.333333333y + y2 = 0 + -1

Combine like terms: 0 + -1 = -1
-1.333333333y + y2 = -1

The y term is -1.333333333y.  Take half its coefficient (-0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
-1.333333333y + 0.4444444442 + y2 = -1 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333y + y2 = -1 + 0.4444444442

Combine like terms: -1 + 0.4444444442 = -0.5555555558
0.4444444442 + -1.333333333y + y2 = -0.5555555558

Factor a perfect square on the left side:
(y + -0.6666666665)(y + -0.6666666665) = -0.5555555558

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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