10x^2+y^2=6y+1

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Solution for 10x^2+y^2=6y+1 equation: 


Simplifying
10x2 + y2 = 6y + 1

Reorder the terms:
10x2 + y2 = 1 + 6y

Solving
10x2 + y2 = 1 + 6y

Solving for variable 'x'.

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

Add '-1y2' to each side of the equation.
10x2 + y2 + -1y2 = 1 + 6y + -1y2

Combine like terms: y2 + -1y2 = 0
10x2 + 0 = 1 + 6y + -1y2
10x2 = 1 + 6y + -1y2

Divide each side by '10'.
x2 = 0.1 + 0.6y + -0.1y2

Simplifying
x2 = 0.1 + 0.6y + -0.1y2

Reorder the terms:
-0.1 + x2 + -0.6y + 0.1y2 = 0.1 + 0.6y + -0.1y2 + -0.1 + -0.6y + 0.1y2

Reorder the terms:
-0.1 + x2 + -0.6y + 0.1y2 = 0.1 + -0.1 + 0.6y + -0.6y + -0.1y2 + 0.1y2

Combine like terms: 0.1 + -0.1 = 0.0
-0.1 + x2 + -0.6y + 0.1y2 = 0.0 + 0.6y + -0.6y + -0.1y2 + 0.1y2
-0.1 + x2 + -0.6y + 0.1y2 = 0.6y + -0.6y + -0.1y2 + 0.1y2

Combine like terms: 0.6y + -0.6y = 0.0
-0.1 + x2 + -0.6y + 0.1y2 = 0.0 + -0.1y2 + 0.1y2
-0.1 + x2 + -0.6y + 0.1y2 = -0.1y2 + 0.1y2

Combine like terms: -0.1y2 + 0.1y2 = 0.0
-0.1 + x2 + -0.6y + 0.1y2 = 0.0

The solution to this equation could not be determined.

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