(5y^2-2y-1)-(-y-2-y^2)=

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Solution for (5y^2-2y-1)-(-y-2-y^2)= equation: 


Simplifying
(5y2 + -2y + -1) + -1(-1y + -2 + -1y2) = 0

Reorder the terms:
(-1 + -2y + 5y2) + -1(-1y + -2 + -1y2) = 0

Remove parenthesis around (-1 + -2y + 5y2)
-1 + -2y + 5y2 + -1(-1y + -2 + -1y2) = 0

Reorder the terms:
-1 + -2y + 5y2 + -1(-2 + -1y + -1y2) = 0
-1 + -2y + 5y2 + (-2 * -1 + -1y * -1 + -1y2 * -1) = 0
-1 + -2y + 5y2 + (2 + 1y + 1y2) = 0

Reorder the terms:
-1 + 2 + -2y + 1y + 5y2 + 1y2 = 0

Combine like terms: -1 + 2 = 1
1 + -2y + 1y + 5y2 + 1y2 = 0

Combine like terms: -2y + 1y = -1y
1 + -1y + 5y2 + 1y2 = 0

Combine like terms: 5y2 + 1y2 = 6y2
1 + -1y + 6y2 = 0

Solving
1 + -1y + 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'.
0.1666666667 + -0.1666666667y + y2 = 0

Move the constant term to the right:

Add '-0.1666666667' to each side of the equation.
0.1666666667 + -0.1666666667y + -0.1666666667 + y2 = 0 + -0.1666666667

Reorder the terms:
0.1666666667 + -0.1666666667 + -0.1666666667y + y2 = 0 + -0.1666666667

Combine like terms: 0.1666666667 + -0.1666666667 = 0.0000000000
0.0000000000 + -0.1666666667y + y2 = 0 + -0.1666666667
-0.1666666667y + y2 = 0 + -0.1666666667

Combine like terms: 0 + -0.1666666667 = -0.1666666667
-0.1666666667y + y2 = -0.1666666667

The y term is -0.1666666667y.  Take half its coefficient (-0.08333333335).
Square it (0.006944444447) and add it to both sides.

Add '0.006944444447' to each side of the equation.
-0.1666666667y + 0.006944444447 + y2 = -0.1666666667 + 0.006944444447

Reorder the terms:
0.006944444447 + -0.1666666667y + y2 = -0.1666666667 + 0.006944444447

Combine like terms: -0.1666666667 + 0.006944444447 = -0.159722222253
0.006944444447 + -0.1666666667y + y2 = -0.159722222253

Factor a perfect square on the left side:
(y + -0.08333333335)(y + -0.08333333335) = -0.159722222253

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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