y^2-12y+321=0

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Solution for y^2-12y+321=0 equation:


Simplifying
y2 + -12y + 321 = 0

Reorder the terms:
321 + -12y + y2 = 0

Solving
321 + -12y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-321' to each side of the equation.
321 + -12y + -321 + y2 = 0 + -321

Reorder the terms:
321 + -321 + -12y + y2 = 0 + -321

Combine like terms: 321 + -321 = 0
0 + -12y + y2 = 0 + -321
-12y + y2 = 0 + -321

Combine like terms: 0 + -321 = -321
-12y + y2 = -321

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 = -321 + 36

Reorder the terms:
36 + -12y + y2 = -321 + 36

Combine like terms: -321 + 36 = -285
36 + -12y + y2 = -285

Factor a perfect square on the left side:
(y + -6)(y + -6) = -285

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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