36xsquared+9ysquared+72x+36y-252=0

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Solution for 36xsquared+9ysquared+72x+36y-252=0 equation:


Simplifying
36xsquared + 9ysquared + 72x + 36y + -252 = 0

Reorder the terms:
-252 + 36adeqrsux + 9adeqrsuy + 72x + 36y = 0

Solving
-252 + 36adeqrsux + 9adeqrsuy + 72x + 36y = 0

Solving for variable 'a'.

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

Add '252' to each side of the equation.
-252 + 36adeqrsux + 9adeqrsuy + 72x + 252 + 36y = 0 + 252

Reorder the terms:
-252 + 252 + 36adeqrsux + 9adeqrsuy + 72x + 36y = 0 + 252

Combine like terms: -252 + 252 = 0
0 + 36adeqrsux + 9adeqrsuy + 72x + 36y = 0 + 252
36adeqrsux + 9adeqrsuy + 72x + 36y = 0 + 252

Combine like terms: 0 + 252 = 252
36adeqrsux + 9adeqrsuy + 72x + 36y = 252

Add '-72x' to each side of the equation.
36adeqrsux + 9adeqrsuy + 72x + -72x + 36y = 252 + -72x

Combine like terms: 72x + -72x = 0
36adeqrsux + 9adeqrsuy + 0 + 36y = 252 + -72x
36adeqrsux + 9adeqrsuy + 36y = 252 + -72x

Add '-36y' to each side of the equation.
36adeqrsux + 9adeqrsuy + 36y + -36y = 252 + -72x + -36y

Combine like terms: 36y + -36y = 0
36adeqrsux + 9adeqrsuy + 0 = 252 + -72x + -36y
36adeqrsux + 9adeqrsuy = 252 + -72x + -36y

Reorder the terms:
-252 + 36adeqrsux + 9adeqrsuy + 72x + 36y = 252 + -72x + -36y + -252 + 72x + 36y

Reorder the terms:
-252 + 36adeqrsux + 9adeqrsuy + 72x + 36y = 252 + -252 + -72x + 72x + -36y + 36y

Combine like terms: 252 + -252 = 0
-252 + 36adeqrsux + 9adeqrsuy + 72x + 36y = 0 + -72x + 72x + -36y + 36y
-252 + 36adeqrsux + 9adeqrsuy + 72x + 36y = -72x + 72x + -36y + 36y

Combine like terms: -72x + 72x = 0
-252 + 36adeqrsux + 9adeqrsuy + 72x + 36y = 0 + -36y + 36y
-252 + 36adeqrsux + 9adeqrsuy + 72x + 36y = -36y + 36y

Combine like terms: -36y + 36y = 0
-252 + 36adeqrsux + 9adeqrsuy + 72x + 36y = 0

Factor out the Greatest Common Factor (GCF), '9'.
9(-28 + 4adeqrsux + adeqrsuy + 8x + 4y) = 0

Ignore the factor 9.

Subproblem 1

Set the factor '(-28 + 4adeqrsux + adeqrsuy + 8x + 4y)' equal to zero and attempt to solve: Simplifying -28 + 4adeqrsux + adeqrsuy + 8x + 4y = 0 Solving -28 + 4adeqrsux + adeqrsuy + 8x + 4y = 0 Move all terms containing a to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 4adeqrsux + adeqrsuy + 8x + 28 + 4y = 0 + 28 Reorder the terms: -28 + 28 + 4adeqrsux + adeqrsuy + 8x + 4y = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 4adeqrsux + adeqrsuy + 8x + 4y = 0 + 28 4adeqrsux + adeqrsuy + 8x + 4y = 0 + 28 Combine like terms: 0 + 28 = 28 4adeqrsux + adeqrsuy + 8x + 4y = 28 Add '-8x' to each side of the equation. 4adeqrsux + adeqrsuy + 8x + -8x + 4y = 28 + -8x Combine like terms: 8x + -8x = 0 4adeqrsux + adeqrsuy + 0 + 4y = 28 + -8x 4adeqrsux + adeqrsuy + 4y = 28 + -8x Add '-4y' to each side of the equation. 4adeqrsux + adeqrsuy + 4y + -4y = 28 + -8x + -4y Combine like terms: 4y + -4y = 0 4adeqrsux + adeqrsuy + 0 = 28 + -8x + -4y 4adeqrsux + adeqrsuy = 28 + -8x + -4y 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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