7x^2+6y+13y^2-8=0

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Solution for 7x^2+6y+13y^2-8=0 equation: 


Simplifying
7x2 + 6y + 13y2 + -8 = 0

Reorder the terms:
-8 + 7x2 + 6y + 13y2 = 0

Solving
-8 + 7x2 + 6y + 13y2 = 0

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 7x2 + 6y + 8 + 13y2 = 0 + 8

Reorder the terms:
-8 + 8 + 7x2 + 6y + 13y2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 7x2 + 6y + 13y2 = 0 + 8
7x2 + 6y + 13y2 = 0 + 8

Combine like terms: 0 + 8 = 8
7x2 + 6y + 13y2 = 8

Add '-6y' to each side of the equation.
7x2 + 6y + -6y + 13y2 = 8 + -6y

Combine like terms: 6y + -6y = 0
7x2 + 0 + 13y2 = 8 + -6y
7x2 + 13y2 = 8 + -6y

Add '-13y2' to each side of the equation.
7x2 + 13y2 + -13y2 = 8 + -6y + -13y2

Combine like terms: 13y2 + -13y2 = 0
7x2 + 0 = 8 + -6y + -13y2
7x2 = 8 + -6y + -13y2

Divide each side by '7'.
x2 = 1.142857143 + -0.8571428571y + -1.857142857y2

Simplifying
x2 = 1.142857143 + -0.8571428571y + -1.857142857y2

Reorder the terms:
-1.142857143 + x2 + 0.8571428571y + 1.857142857y2 = 1.142857143 + -0.8571428571y + -1.857142857y2 + -1.142857143 + 0.8571428571y + 1.857142857y2

Reorder the terms:
-1.142857143 + x2 + 0.8571428571y + 1.857142857y2 = 1.142857143 + -1.142857143 + -0.8571428571y + 0.8571428571y + -1.857142857y2 + 1.857142857y2

Combine like terms: 1.142857143 + -1.142857143 = 0.000000000
-1.142857143 + x2 + 0.8571428571y + 1.857142857y2 = 0.000000000 + -0.8571428571y + 0.8571428571y + -1.857142857y2 + 1.857142857y2
-1.142857143 + x2 + 0.8571428571y + 1.857142857y2 = -0.8571428571y + 0.8571428571y + -1.857142857y2 + 1.857142857y2

Combine like terms: -0.8571428571y + 0.8571428571y = 0.0000000000
-1.142857143 + x2 + 0.8571428571y + 1.857142857y2 = 0.0000000000 + -1.857142857y2 + 1.857142857y2
-1.142857143 + x2 + 0.8571428571y + 1.857142857y2 = -1.857142857y2 + 1.857142857y2

Combine like terms: -1.857142857y2 + 1.857142857y2 = 0.000000000
-1.142857143 + x2 + 0.8571428571y + 1.857142857y2 = 0.000000000

The solution to this equation could not be determined.

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