y^2+6y+14=0

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Solution for y^2+6y+14=0 equation:


Simplifying
y2 + 6y + 14 = 0

Reorder the terms:
14 + 6y + y2 = 0

Solving
14 + 6y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-14' to each side of the equation.
14 + 6y + -14 + y2 = 0 + -14

Reorder the terms:
14 + -14 + 6y + y2 = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 6y + y2 = 0 + -14
6y + y2 = 0 + -14

Combine like terms: 0 + -14 = -14
6y + y2 = -14

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 = -14 + 9

Reorder the terms:
9 + 6y + y2 = -14 + 9

Combine like terms: -14 + 9 = -5
9 + 6y + y2 = -5

Factor a perfect square on the left side:
(y + 3)(y + 3) = -5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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