(9*y^2-7*y+4)+(2*y+8)+(y^2-1)=

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Solution for (9*y^2-7*y+4)+(2*y+8)+(y^2-1)= equation:


Simplifying
(9y2 + -7y + 4) + (2y + 8) + (y2 + -1) = 0

Reorder the terms:
(4 + -7y + 9y2) + (2y + 8) + (y2 + -1) = 0

Remove parenthesis around (4 + -7y + 9y2)
4 + -7y + 9y2 + (2y + 8) + (y2 + -1) = 0

Reorder the terms:
4 + -7y + 9y2 + (8 + 2y) + (y2 + -1) = 0

Remove parenthesis around (8 + 2y)
4 + -7y + 9y2 + 8 + 2y + (y2 + -1) = 0

Reorder the terms:
4 + -7y + 9y2 + 8 + 2y + (-1 + y2) = 0

Remove parenthesis around (-1 + y2)
4 + -7y + 9y2 + 8 + 2y + -1 + y2 = 0

Reorder the terms:
4 + 8 + -1 + -7y + 2y + 9y2 + y2 = 0

Combine like terms: 4 + 8 = 12
12 + -1 + -7y + 2y + 9y2 + y2 = 0

Combine like terms: 12 + -1 = 11
11 + -7y + 2y + 9y2 + y2 = 0

Combine like terms: -7y + 2y = -5y
11 + -5y + 9y2 + y2 = 0

Combine like terms: 9y2 + y2 = 10y2
11 + -5y + 10y2 = 0

Solving
11 + -5y + 10y2 = 0

Solving for variable 'y'.

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

Divide each side by '10'.
1.1 + -0.5y + y2 = 0.0

Move the constant term to the right:

Add '-1.1' to each side of the equation.
1.1 + -0.5y + -1.1 + y2 = 0.0 + -1.1

Reorder the terms:
1.1 + -1.1 + -0.5y + y2 = 0.0 + -1.1

Combine like terms: 1.1 + -1.1 = 0.0
0.0 + -0.5y + y2 = 0.0 + -1.1
-0.5y + y2 = 0.0 + -1.1

Combine like terms: 0.0 + -1.1 = -1.1
-0.5y + y2 = -1.1

The y term is -0.5y.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5y + 0.0625 + y2 = -1.1 + 0.0625

Reorder the terms:
0.0625 + -0.5y + y2 = -1.1 + 0.0625

Combine like terms: -1.1 + 0.0625 = -1.0375
0.0625 + -0.5y + y2 = -1.0375

Factor a perfect square on the left side:
(y + -0.25)(y + -0.25) = -1.0375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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