25a^2-25x^2-10xy-y^2=0

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Solution for 25a^2-25x^2-10xy-y^2=0 equation: 


Simplifying
25a2 + -25x2 + -10xy + -1y2 = 0

Reorder the terms:
25a2 + -10xy + -25x2 + -1y2 = 0

Solving
25a2 + -10xy + -25x2 + -1y2 = 0

Solving for variable 'a'.

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

Add '10xy' to each side of the equation.
25a2 + -10xy + -25x2 + 10xy + -1y2 = 0 + 10xy

Reorder the terms:
25a2 + -10xy + 10xy + -25x2 + -1y2 = 0 + 10xy

Combine like terms: -10xy + 10xy = 0
25a2 + 0 + -25x2 + -1y2 = 0 + 10xy
25a2 + -25x2 + -1y2 = 0 + 10xy
Remove the zero:
25a2 + -25x2 + -1y2 = 10xy

Add '25x2' to each side of the equation.
25a2 + -25x2 + 25x2 + -1y2 = 10xy + 25x2

Combine like terms: -25x2 + 25x2 = 0
25a2 + 0 + -1y2 = 10xy + 25x2
25a2 + -1y2 = 10xy + 25x2

Add 'y2' to each side of the equation.
25a2 + -1y2 + y2 = 10xy + 25x2 + y2

Combine like terms: -1y2 + y2 = 0
25a2 + 0 = 10xy + 25x2 + y2
25a2 = 10xy + 25x2 + y2

Divide each side by '25'.
a2 = 0.4xy + x2 + 0.04y2

Simplifying
a2 = 0.4xy + x2 + 0.04y2

Reorder the terms:
a2 + -0.4xy + -1x2 + -0.04y2 = 0.4xy + -0.4xy + x2 + -1x2 + 0.04y2 + -0.04y2

Combine like terms: 0.4xy + -0.4xy = 0.0
a2 + -0.4xy + -1x2 + -0.04y2 = 0.0 + x2 + -1x2 + 0.04y2 + -0.04y2
a2 + -0.4xy + -1x2 + -0.04y2 = x2 + -1x2 + 0.04y2 + -0.04y2

Combine like terms: x2 + -1x2 = 0
a2 + -0.4xy + -1x2 + -0.04y2 = 0 + 0.04y2 + -0.04y2
a2 + -0.4xy + -1x2 + -0.04y2 = 0.04y2 + -0.04y2

Combine like terms: 0.04y2 + -0.04y2 = 0.00
a2 + -0.4xy + -1x2 + -0.04y2 = 0.00

The solution to this equation could not be determined.

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