4x^2+4xy+y^2-4a^2=0

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Solution for 4x^2+4xy+y^2-4a^2=0 equation:


Simplifying
4x2 + 4xy + y2 + -4a2 = 0

Reorder the terms:
-4a2 + 4xy + 4x2 + y2 = 0

Solving
-4a2 + 4xy + 4x2 + y2 = 0

Solving for variable 'a'.

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

Add '-4xy' to each side of the equation.
-4a2 + 4xy + 4x2 + -4xy + y2 = 0 + -4xy

Reorder the terms:
-4a2 + 4xy + -4xy + 4x2 + y2 = 0 + -4xy

Combine like terms: 4xy + -4xy = 0
-4a2 + 0 + 4x2 + y2 = 0 + -4xy
-4a2 + 4x2 + y2 = 0 + -4xy
Remove the zero:
-4a2 + 4x2 + y2 = -4xy

Add '-4x2' to each side of the equation.
-4a2 + 4x2 + -4x2 + y2 = -4xy + -4x2

Combine like terms: 4x2 + -4x2 = 0
-4a2 + 0 + y2 = -4xy + -4x2
-4a2 + y2 = -4xy + -4x2

Add '-1y2' to each side of the equation.
-4a2 + y2 + -1y2 = -4xy + -4x2 + -1y2

Combine like terms: y2 + -1y2 = 0
-4a2 + 0 = -4xy + -4x2 + -1y2
-4a2 = -4xy + -4x2 + -1y2

Divide each side by '-4'.
a2 = xy + x2 + 0.25y2

Simplifying
a2 = xy + x2 + 0.25y2

Reorder the terms:
a2 + -1xy + -1x2 + -0.25y2 = xy + -1xy + x2 + -1x2 + 0.25y2 + -0.25y2

Combine like terms: xy + -1xy = 0
a2 + -1xy + -1x2 + -0.25y2 = 0 + x2 + -1x2 + 0.25y2 + -0.25y2
a2 + -1xy + -1x2 + -0.25y2 = x2 + -1x2 + 0.25y2 + -0.25y2

Combine like terms: x2 + -1x2 = 0
a2 + -1xy + -1x2 + -0.25y2 = 0 + 0.25y2 + -0.25y2
a2 + -1xy + -1x2 + -0.25y2 = 0.25y2 + -0.25y2

Combine like terms: 0.25y2 + -0.25y2 = 0.00
a2 + -1xy + -1x2 + -0.25y2 = 0.00

The solution to this equation could not be determined.

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