y^2+2.168y-14.299776=0

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Solution for y^2+2.168y-14.299776=0 equation: 


Simplifying
y2 + 2.168y + -14.299776 = 0

Reorder the terms:
-14.299776 + 2.168y + y2 = 0

Solving
-14.299776 + 2.168y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '14.299776' to each side of the equation.
-14.299776 + 2.168y + 14.299776 + y2 = 0 + 14.299776

Reorder the terms:
-14.299776 + 14.299776 + 2.168y + y2 = 0 + 14.299776

Combine like terms: -14.299776 + 14.299776 = 0.000000
0.000000 + 2.168y + y2 = 0 + 14.299776
2.168y + y2 = 0 + 14.299776

Combine like terms: 0 + 14.299776 = 14.299776
2.168y + y2 = 14.299776

The y term is 2.168y.  Take half its coefficient (1.084).
Square it (1.175056) and add it to both sides.

Add '1.175056' to each side of the equation.
2.168y + 1.175056 + y2 = 14.299776 + 1.175056

Reorder the terms:
1.175056 + 2.168y + y2 = 14.299776 + 1.175056

Combine like terms: 14.299776 + 1.175056 = 15.474832
1.175056 + 2.168y + y2 = 15.474832

Factor a perfect square on the left side:
(y + 1.084)(y + 1.084) = 15.474832

Calculate the square root of the right side: 3.933806299

Break this problem into two subproblems by setting 
(y + 1.084) equal to 3.933806299 and -3.933806299.


Subproblem 1
y + 1.084 = 3.933806299

Simplifying
y + 1.084 = 3.933806299

Reorder the terms:
1.084 + y = 3.933806299

Solving
1.084 + y = 3.933806299

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-1.084' to each side of the equation.
1.084 + -1.084 + y = 3.933806299 + -1.084

Combine like terms: 1.084 + -1.084 = 0.000
0.000 + y = 3.933806299 + -1.084
y = 3.933806299 + -1.084

Combine like terms: 3.933806299 + -1.084 = 2.849806299
y = 2.849806299

Simplifying
y = 2.849806299


Subproblem 2
y + 1.084 = -3.933806299

Simplifying
y + 1.084 = -3.933806299

Reorder the terms:
1.084 + y = -3.933806299

Solving
1.084 + y = -3.933806299

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-1.084' to each side of the equation.
1.084 + -1.084 + y = -3.933806299 + -1.084

Combine like terms: 1.084 + -1.084 = 0.000
0.000 + y = -3.933806299 + -1.084
y = -3.933806299 + -1.084

Combine like terms: -3.933806299 + -1.084 = -5.017806299
y = -5.017806299

Simplifying
y = -5.017806299


Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {2.849806299, -5.017806299}

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