5(x^2+y)+y^2=

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Solution for 5(x^2+y)+y^2= equation:


Simplifying
5(x2 + y) + y2 = 0
(x2 * 5 + y * 5) + y2 = 0
(5x2 + 5y) + y2 = 0

Solving
5x2 + 5y + y2 = 0

Solving for variable 'x'.

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

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

Combine like terms: 5y + -5y = 0
5x2 + 0 + y2 = 0 + -5y
5x2 + y2 = 0 + -5y
Remove the zero:
5x2 + y2 = -5y

Add '-1y2' to each side of the equation.
5x2 + y2 + -1y2 = -5y + -1y2

Combine like terms: y2 + -1y2 = 0
5x2 + 0 = -5y + -1y2
5x2 = -5y + -1y2

Divide each side by '5'.
x2 = -1y + -0.2y2

Simplifying
x2 = -1y + -0.2y2

Reorder the terms:
x2 + y + 0.2y2 = -1y + y + -0.2y2 + 0.2y2

Combine like terms: -1y + y = 0
x2 + y + 0.2y2 = 0 + -0.2y2 + 0.2y2
x2 + y + 0.2y2 = -0.2y2 + 0.2y2

Combine like terms: -0.2y2 + 0.2y2 = 0.0
x2 + y + 0.2y2 = 0.0

The solution to this equation could not be determined.

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