5x^2+4xy+7y^2+4x^2-4xy+4y^2=

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Solution for 5x^2+4xy+7y^2+4x^2-4xy+4y^2= equation:


Simplifying
5x2 + 4xy + 7y2 + 4x2 + -4xy + 4y2 = 0

Reorder the terms:
4xy + -4xy + 5x2 + 4x2 + 7y2 + 4y2 = 0

Combine like terms: 4xy + -4xy = 0
0 + 5x2 + 4x2 + 7y2 + 4y2 = 0
5x2 + 4x2 + 7y2 + 4y2 = 0

Combine like terms: 5x2 + 4x2 = 9x2
9x2 + 7y2 + 4y2 = 0

Combine like terms: 7y2 + 4y2 = 11y2
9x2 + 11y2 = 0

Solving
9x2 + 11y2 = 0

Solving for variable 'x'.

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

Add '-11y2' to each side of the equation.
9x2 + 11y2 + -11y2 = 0 + -11y2

Combine like terms: 11y2 + -11y2 = 0
9x2 + 0 = 0 + -11y2
9x2 = 0 + -11y2
Remove the zero:
9x2 = -11y2

Divide each side by '9'.
x2 = -1.222222222y2

Simplifying
x2 = -1.222222222y2

Combine like terms: -1.222222222y2 + 1.222222222y2 = 0.000000000
x2 + 1.222222222y2 = 0.000000000

The solution to this equation could not be determined.

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