3(y^2-12y+36)+36=0

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Solution for 3(y^2-12y+36)+36=0 equation: 


Simplifying
3(y2 + -12y + 36) + 36 = 0

Reorder the terms:
3(36 + -12y + y2) + 36 = 0
(36 * 3 + -12y * 3 + y2 * 3) + 36 = 0
(108 + -36y + 3y2) + 36 = 0

Reorder the terms:
108 + 36 + -36y + 3y2 = 0

Combine like terms: 108 + 36 = 144
144 + -36y + 3y2 = 0

Solving
144 + -36y + 3y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3'.
3(48 + -12y + y2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(48 + -12y + y2)' equal to zero and attempt to solve:

Simplifying
48 + -12y + y2 = 0

Solving
48 + -12y + y2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-48' to each side of the equation.
48 + -12y + -48 + y2 = 0 + -48

Reorder the terms:
48 + -48 + -12y + y2 = 0 + -48

Combine like terms: 48 + -48 = 0
0 + -12y + y2 = 0 + -48
-12y + y2 = 0 + -48

Combine like terms: 0 + -48 = -48
-12y + y2 = -48

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 = -48 + 36

Reorder the terms:
36 + -12y + y2 = -48 + 36

Combine like terms: -48 + 36 = -12
36 + -12y + y2 = -12

Factor a perfect square on the left side:
(y + -6)(y + -6) = -12

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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