y^2-12y+180=0

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Solution for y^2-12y+180=0 equation:


Simplifying
y2 + -12y + 180 = 0

Reorder the terms:
180 + -12y + y2 = 0

Solving
180 + -12y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-180' to each side of the equation.
180 + -12y + -180 + y2 = 0 + -180

Reorder the terms:
180 + -180 + -12y + y2 = 0 + -180

Combine like terms: 180 + -180 = 0
0 + -12y + y2 = 0 + -180
-12y + y2 = 0 + -180

Combine like terms: 0 + -180 = -180
-12y + y2 = -180

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 = -180 + 36

Reorder the terms:
36 + -12y + y2 = -180 + 36

Combine like terms: -180 + 36 = -144
36 + -12y + y2 = -144

Factor a perfect square on the left side:
(y + -6)(y + -6) = -144

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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