y^2+14y+549=6

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Solution for y^2+14y+549=6 equation:


Simplifying
y2 + 14y + 549 = 6

Reorder the terms:
549 + 14y + y2 = 6

Solving
549 + 14y + y2 = 6

Solving for variable 'y'.

Reorder the terms:
549 + -6 + 14y + y2 = 6 + -6

Combine like terms: 549 + -6 = 543
543 + 14y + y2 = 6 + -6

Combine like terms: 6 + -6 = 0
543 + 14y + y2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-543' to each side of the equation.
543 + 14y + -543 + y2 = 0 + -543

Reorder the terms:
543 + -543 + 14y + y2 = 0 + -543

Combine like terms: 543 + -543 = 0
0 + 14y + y2 = 0 + -543
14y + y2 = 0 + -543

Combine like terms: 0 + -543 = -543
14y + y2 = -543

The y term is 14y.  Take half its coefficient (7).
Square it (49) and add it to both sides.

Add '49' to each side of the equation.
14y + 49 + y2 = -543 + 49

Reorder the terms:
49 + 14y + y2 = -543 + 49

Combine like terms: -543 + 49 = -494
49 + 14y + y2 = -494

Factor a perfect square on the left side:
(y + 7)(y + 7) = -494

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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