(y^2+6y-5)+(-7y^2+2y-2)=

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Solution for (y^2+6y-5)+(-7y^2+2y-2)= equation: 


Simplifying
(y2 + 6y + -5) + (-7y2 + 2y + -2) = 0

Reorder the terms:
(-5 + 6y + y2) + (-7y2 + 2y + -2) = 0

Remove parenthesis around (-5 + 6y + y2)
-5 + 6y + y2 + (-7y2 + 2y + -2) = 0

Reorder the terms:
-5 + 6y + y2 + (-2 + 2y + -7y2) = 0

Remove parenthesis around (-2 + 2y + -7y2)
-5 + 6y + y2 + -2 + 2y + -7y2 = 0

Reorder the terms:
-5 + -2 + 6y + 2y + y2 + -7y2 = 0

Combine like terms: -5 + -2 = -7
-7 + 6y + 2y + y2 + -7y2 = 0

Combine like terms: 6y + 2y = 8y
-7 + 8y + y2 + -7y2 = 0

Combine like terms: y2 + -7y2 = -6y2
-7 + 8y + -6y2 = 0

Solving
-7 + 8y + -6y2 = 0

Solving for variable 'y'.

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

Divide each side by '-6'.
1.166666667 + -1.333333333y + y2 = 0

Move the constant term to the right:

Add '-1.166666667' to each side of the equation.
1.166666667 + -1.333333333y + -1.166666667 + y2 = 0 + -1.166666667

Reorder the terms:
1.166666667 + -1.166666667 + -1.333333333y + y2 = 0 + -1.166666667

Combine like terms: 1.166666667 + -1.166666667 = 0.000000000
0.000000000 + -1.333333333y + y2 = 0 + -1.166666667
-1.333333333y + y2 = 0 + -1.166666667

Combine like terms: 0 + -1.166666667 = -1.166666667
-1.333333333y + y2 = -1.166666667

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 = -1.166666667 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333y + y2 = -1.166666667 + 0.4444444442

Combine like terms: -1.166666667 + 0.4444444442 = -0.7222222228
0.4444444442 + -1.333333333y + y2 = -0.7222222228

Factor a perfect square on the left side:
(y + -0.6666666665)(y + -0.6666666665) = -0.7222222228

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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