6y^2+5=-8y

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Solution for 6y^2+5=-8y equation: 


Simplifying
6y2 + 5 = -8y

Reorder the terms:
5 + 6y2 = -8y

Solving
5 + 6y2 = -8y

Solving for variable 'y'.

Reorder the terms:
5 + 8y + 6y2 = -8y + 8y

Combine like terms: -8y + 8y = 0
5 + 8y + 6y2 = 0

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

Divide each side by '6'.
0.8333333333 + 1.333333333y + y2 = 0

Move the constant term to the right:

Add '-0.8333333333' to each side of the equation.
0.8333333333 + 1.333333333y + -0.8333333333 + y2 = 0 + -0.8333333333

Reorder the terms:
0.8333333333 + -0.8333333333 + 1.333333333y + y2 = 0 + -0.8333333333

Combine like terms: 0.8333333333 + -0.8333333333 = 0.0000000000
0.0000000000 + 1.333333333y + y2 = 0 + -0.8333333333
1.333333333y + y2 = 0 + -0.8333333333

Combine like terms: 0 + -0.8333333333 = -0.8333333333
1.333333333y + y2 = -0.8333333333

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 = -0.8333333333 + 0.4444444442

Reorder the terms:
0.4444444442 + 1.333333333y + y2 = -0.8333333333 + 0.4444444442

Combine like terms: -0.8333333333 + 0.4444444442 = -0.3888888891
0.4444444442 + 1.333333333y + y2 = -0.3888888891

Factor a perfect square on the left side:
(y + 0.6666666665)(y + 0.6666666665) = -0.3888888891

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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