6y^2-y=y-5

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


Simplifying
6y2 + -1y = y + -5

Reorder the terms:
-1y + 6y2 = y + -5

Reorder the terms:
-1y + 6y2 = -5 + y

Solving
-1y + 6y2 = -5 + y

Solving for variable 'y'.

Reorder the terms:
5 + -1y + -1y + 6y2 = -5 + y + 5 + -1y

Combine like terms: -1y + -1y = -2y
5 + -2y + 6y2 = -5 + y + 5 + -1y

Reorder the terms:
5 + -2y + 6y2 = -5 + 5 + y + -1y

Combine like terms: -5 + 5 = 0
5 + -2y + 6y2 = 0 + y + -1y
5 + -2y + 6y2 = y + -1y

Combine like terms: y + -1y = 0
5 + -2y + 6y2 = 0

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

Divide each side by '6'.
0.8333333333 + -0.3333333333y + y2 = 0

Move the constant term to the right:

Add '-0.8333333333' to each side of the equation.
0.8333333333 + -0.3333333333y + -0.8333333333 + y2 = 0 + -0.8333333333

Reorder the terms:
0.8333333333 + -0.8333333333 + -0.3333333333y + y2 = 0 + -0.8333333333

Combine like terms: 0.8333333333 + -0.8333333333 = 0.0000000000
0.0000000000 + -0.3333333333y + y2 = 0 + -0.8333333333
-0.3333333333y + y2 = 0 + -0.8333333333

Combine like terms: 0 + -0.8333333333 = -0.8333333333
-0.3333333333y + y2 = -0.8333333333

The y term is -0.3333333333y.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333y + 0.02777777779 + y2 = -0.8333333333 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333y + y2 = -0.8333333333 + 0.02777777779

Combine like terms: -0.8333333333 + 0.02777777779 = -0.80555555551
0.02777777779 + -0.3333333333y + y2 = -0.80555555551

Factor a perfect square on the left side:
(y + -0.1666666667)(y + -0.1666666667) = -0.80555555551

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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