2y^2+12y+25=0

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Solution for 2y^2+12y+25=0 equation:


Simplifying
2y2 + 12y + 25 = 0

Reorder the terms:
25 + 12y + 2y2 = 0

Solving
25 + 12y + 2y2 = 0

Solving for variable 'y'.

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

Divide each side by '2'.
12.5 + 6y + y2 = 0

Move the constant term to the right:

Add '-12.5' to each side of the equation.
12.5 + 6y + -12.5 + y2 = 0 + -12.5

Reorder the terms:
12.5 + -12.5 + 6y + y2 = 0 + -12.5

Combine like terms: 12.5 + -12.5 = 0.0
0.0 + 6y + y2 = 0 + -12.5
6y + y2 = 0 + -12.5

Combine like terms: 0 + -12.5 = -12.5
6y + y2 = -12.5

The y term is 6y.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6y + 9 + y2 = -12.5 + 9

Reorder the terms:
9 + 6y + y2 = -12.5 + 9

Combine like terms: -12.5 + 9 = -3.5
9 + 6y + y2 = -3.5

Factor a perfect square on the left side:
(y + 3)(y + 3) = -3.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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