(5y^2-9y+11)-4y+8-y^2=

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Solution for (5y^2-9y+11)-4y+8-y^2= equation: 


Simplifying
(5y2 + -9y + 11) + -4y + 8 + -1y2 = 0

Reorder the terms:
(11 + -9y + 5y2) + -4y + 8 + -1y2 = 0

Remove parenthesis around (11 + -9y + 5y2)
11 + -9y + 5y2 + -4y + 8 + -1y2 = 0

Reorder the terms:
11 + 8 + -9y + -4y + 5y2 + -1y2 = 0

Combine like terms: 11 + 8 = 19
19 + -9y + -4y + 5y2 + -1y2 = 0

Combine like terms: -9y + -4y = -13y
19 + -13y + 5y2 + -1y2 = 0

Combine like terms: 5y2 + -1y2 = 4y2
19 + -13y + 4y2 = 0

Solving
19 + -13y + 4y2 = 0

Solving for variable 'y'.

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

Divide each side by '4'.
4.75 + -3.25y + y2 = 0

Move the constant term to the right:

Add '-4.75' to each side of the equation.
4.75 + -3.25y + -4.75 + y2 = 0 + -4.75

Reorder the terms:
4.75 + -4.75 + -3.25y + y2 = 0 + -4.75

Combine like terms: 4.75 + -4.75 = 0.00
0.00 + -3.25y + y2 = 0 + -4.75
-3.25y + y2 = 0 + -4.75

Combine like terms: 0 + -4.75 = -4.75
-3.25y + y2 = -4.75

The y term is -3.25y.  Take half its coefficient (-1.625).
Square it (2.640625) and add it to both sides.

Add '2.640625' to each side of the equation.
-3.25y + 2.640625 + y2 = -4.75 + 2.640625

Reorder the terms:
2.640625 + -3.25y + y2 = -4.75 + 2.640625

Combine like terms: -4.75 + 2.640625 = -2.109375
2.640625 + -3.25y + y2 = -2.109375

Factor a perfect square on the left side:
(y + -1.625)(y + -1.625) = -2.109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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