11y^2+108y+1008=0

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Solution for 11y^2+108y+1008=0 equation:


Simplifying
11y2 + 108y + 1008 = 0

Reorder the terms:
1008 + 108y + 11y2 = 0

Solving
1008 + 108y + 11y2 = 0

Solving for variable 'y'.

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

Divide each side by '11'.
91.63636364 + 9.818181818y + y2 = 0

Move the constant term to the right:

Add '-91.63636364' to each side of the equation.
91.63636364 + 9.818181818y + -91.63636364 + y2 = 0 + -91.63636364

Reorder the terms:
91.63636364 + -91.63636364 + 9.818181818y + y2 = 0 + -91.63636364

Combine like terms: 91.63636364 + -91.63636364 = 0.00000000
0.00000000 + 9.818181818y + y2 = 0 + -91.63636364
9.818181818y + y2 = 0 + -91.63636364

Combine like terms: 0 + -91.63636364 = -91.63636364
9.818181818y + y2 = -91.63636364

The y term is 9.818181818y.  Take half its coefficient (4.909090909).
Square it (24.09917355) and add it to both sides.

Add '24.09917355' to each side of the equation.
9.818181818y + 24.09917355 + y2 = -91.63636364 + 24.09917355

Reorder the terms:
24.09917355 + 9.818181818y + y2 = -91.63636364 + 24.09917355

Combine like terms: -91.63636364 + 24.09917355 = -67.53719009
24.09917355 + 9.818181818y + y2 = -67.53719009

Factor a perfect square on the left side:
(y + 4.909090909)(y + 4.909090909) = -67.53719009

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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