5x^2+2y^2-4xy*2x-4y+5=0

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Solution for 5x^2+2y^2-4xy*2x-4y+5=0 equation: 


Simplifying
5x2 + 2y2 + -4xy * 2x + -4y + 5 = 0

Reorder the terms for easier multiplication:
5x2 + 2y2 + -4 * 2xy * x + -4y + 5 = 0

Multiply -4 * 2
5x2 + 2y2 + -8xy * x + -4y + 5 = 0

Multiply xy * x
5x2 + 2y2 + -8x2y + -4y + 5 = 0

Reorder the terms:
5 + 5x2 + -8x2y + -4y + 2y2 = 0

Solving
5 + 5x2 + -8x2y + -4y + 2y2 = 0

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + 5x2 + -8x2y + -4y + -5 + 2y2 = 0 + -5

Reorder the terms:
5 + -5 + 5x2 + -8x2y + -4y + 2y2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 5x2 + -8x2y + -4y + 2y2 = 0 + -5
5x2 + -8x2y + -4y + 2y2 = 0 + -5

Combine like terms: 0 + -5 = -5
5x2 + -8x2y + -4y + 2y2 = -5

Add '4y' to each side of the equation.
5x2 + -8x2y + -4y + 4y + 2y2 = -5 + 4y

Combine like terms: -4y + 4y = 0
5x2 + -8x2y + 0 + 2y2 = -5 + 4y
5x2 + -8x2y + 2y2 = -5 + 4y

Add '-2y2' to each side of the equation.
5x2 + -8x2y + 2y2 + -2y2 = -5 + 4y + -2y2

Combine like terms: 2y2 + -2y2 = 0
5x2 + -8x2y + 0 = -5 + 4y + -2y2
5x2 + -8x2y = -5 + 4y + -2y2

Reorder the terms:
5 + 5x2 + -8x2y + -4y + 2y2 = -5 + 4y + -2y2 + 5 + -4y + 2y2

Reorder the terms:
5 + 5x2 + -8x2y + -4y + 2y2 = -5 + 5 + 4y + -4y + -2y2 + 2y2

Combine like terms: -5 + 5 = 0
5 + 5x2 + -8x2y + -4y + 2y2 = 0 + 4y + -4y + -2y2 + 2y2
5 + 5x2 + -8x2y + -4y + 2y2 = 4y + -4y + -2y2 + 2y2

Combine like terms: 4y + -4y = 0
5 + 5x2 + -8x2y + -4y + 2y2 = 0 + -2y2 + 2y2
5 + 5x2 + -8x2y + -4y + 2y2 = -2y2 + 2y2

Combine like terms: -2y2 + 2y2 = 0
5 + 5x2 + -8x2y + -4y + 2y2 = 0

The solution to this equation could not be determined.

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