y^2+12y+37=0

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Solution for y^2+12y+37=0 equation:


Simplifying
y2 + 12y + 37 = 0

Reorder the terms:
37 + 12y + y2 = 0

Solving
37 + 12y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-37' to each side of the equation.
37 + 12y + -37 + y2 = 0 + -37

Reorder the terms:
37 + -37 + 12y + y2 = 0 + -37

Combine like terms: 37 + -37 = 0
0 + 12y + y2 = 0 + -37
12y + y2 = 0 + -37

Combine like terms: 0 + -37 = -37
12y + y2 = -37

The y term is 12y.  Take half its coefficient (6).
Square it (36) and add it to both sides.

Add '36' to each side of the equation.
12y + 36 + y2 = -37 + 36

Reorder the terms:
36 + 12y + y2 = -37 + 36

Combine like terms: -37 + 36 = -1
36 + 12y + y2 = -1

Factor a perfect square on the left side:
(y + 6)(y + 6) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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