y^2+12y+36-9a^2=0

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Solution for y^2+12y+36-9a^2=0 equation: 


Simplifying
y2 + 12y + 36 + -9a2 = 0

Reorder the terms:
36 + -9a2 + 12y + y2 = 0

Solving
36 + -9a2 + 12y + y2 = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-36' to each side of the equation.
36 + -9a2 + 12y + -36 + y2 = 0 + -36

Reorder the terms:
36 + -36 + -9a2 + 12y + y2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -9a2 + 12y + y2 = 0 + -36
-9a2 + 12y + y2 = 0 + -36

Combine like terms: 0 + -36 = -36
-9a2 + 12y + y2 = -36

Add '-12y' to each side of the equation.
-9a2 + 12y + -12y + y2 = -36 + -12y

Combine like terms: 12y + -12y = 0
-9a2 + 0 + y2 = -36 + -12y
-9a2 + y2 = -36 + -12y

Add '-1y2' to each side of the equation.
-9a2 + y2 + -1y2 = -36 + -12y + -1y2

Combine like terms: y2 + -1y2 = 0
-9a2 + 0 = -36 + -12y + -1y2
-9a2 = -36 + -12y + -1y2

Divide each side by '-9'.
a2 = 4 + 1.333333333y + 0.1111111111y2

Simplifying
a2 = 4 + 1.333333333y + 0.1111111111y2

Reorder the terms:
-4 + a2 + -1.333333333y + -0.1111111111y2 = 4 + 1.333333333y + 0.1111111111y2 + -4 + -1.333333333y + -0.1111111111y2

Reorder the terms:
-4 + a2 + -1.333333333y + -0.1111111111y2 = 4 + -4 + 1.333333333y + -1.333333333y + 0.1111111111y2 + -0.1111111111y2

Combine like terms: 4 + -4 = 0
-4 + a2 + -1.333333333y + -0.1111111111y2 = 0 + 1.333333333y + -1.333333333y + 0.1111111111y2 + -0.1111111111y2
-4 + a2 + -1.333333333y + -0.1111111111y2 = 1.333333333y + -1.333333333y + 0.1111111111y2 + -0.1111111111y2

Combine like terms: 1.333333333y + -1.333333333y = 0.000000000
-4 + a2 + -1.333333333y + -0.1111111111y2 = 0.000000000 + 0.1111111111y2 + -0.1111111111y2
-4 + a2 + -1.333333333y + -0.1111111111y2 = 0.1111111111y2 + -0.1111111111y2

Combine like terms: 0.1111111111y2 + -0.1111111111y2 = 0.0000000000
-4 + a2 + -1.333333333y + -0.1111111111y2 = 0.0000000000

The solution to this equation could not be determined.

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