5x^2+5y^2+4y+2=0

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


Simplifying
5x2 + 5y2 + 4y + 2 = 0

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

Solving
2 + 5x2 + 4y + 5y2 = 0

Solving for variable 'x'.

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

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

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

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

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

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

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

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

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

Divide each side by '5'.
x2 = -0.4 + -0.8y + -1y2

Simplifying
x2 = -0.4 + -0.8y + -1y2

Reorder the terms:
0.4 + x2 + 0.8y + y2 = -0.4 + -0.8y + -1y2 + 0.4 + 0.8y + y2

Reorder the terms:
0.4 + x2 + 0.8y + y2 = -0.4 + 0.4 + -0.8y + 0.8y + -1y2 + y2

Combine like terms: -0.4 + 0.4 = 0.0
0.4 + x2 + 0.8y + y2 = 0.0 + -0.8y + 0.8y + -1y2 + y2
0.4 + x2 + 0.8y + y2 = -0.8y + 0.8y + -1y2 + y2

Combine like terms: -0.8y + 0.8y = 0.0
0.4 + x2 + 0.8y + y2 = 0.0 + -1y2 + y2
0.4 + x2 + 0.8y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
0.4 + x2 + 0.8y + y2 = 0

The solution to this equation could not be determined.

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