26x^2+y^2=10y+1

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Solution for 26x^2+y^2=10y+1 equation: 


Simplifying
26x2 + y2 = 10y + 1

Reorder the terms:
26x2 + y2 = 1 + 10y

Solving
26x2 + y2 = 1 + 10y

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.
26x2 + y2 + -1y2 = 1 + 10y + -1y2

Combine like terms: y2 + -1y2 = 0
26x2 + 0 = 1 + 10y + -1y2
26x2 = 1 + 10y + -1y2

Divide each side by '26'.
x2 = 0.03846153846 + 0.3846153846y + -0.03846153846y2

Simplifying
x2 = 0.03846153846 + 0.3846153846y + -0.03846153846y2

Reorder the terms:
-0.03846153846 + x2 + -0.3846153846y + 0.03846153846y2 = 0.03846153846 + 0.3846153846y + -0.03846153846y2 + -0.03846153846 + -0.3846153846y + 0.03846153846y2

Reorder the terms:
-0.03846153846 + x2 + -0.3846153846y + 0.03846153846y2 = 0.03846153846 + -0.03846153846 + 0.3846153846y + -0.3846153846y + -0.03846153846y2 + 0.03846153846y2

Combine like terms: 0.03846153846 + -0.03846153846 = 0.00000000000
-0.03846153846 + x2 + -0.3846153846y + 0.03846153846y2 = 0.00000000000 + 0.3846153846y + -0.3846153846y + -0.03846153846y2 + 0.03846153846y2
-0.03846153846 + x2 + -0.3846153846y + 0.03846153846y2 = 0.3846153846y + -0.3846153846y + -0.03846153846y2 + 0.03846153846y2

Combine like terms: 0.3846153846y + -0.3846153846y = 0.0000000000
-0.03846153846 + x2 + -0.3846153846y + 0.03846153846y2 = 0.0000000000 + -0.03846153846y2 + 0.03846153846y2
-0.03846153846 + x2 + -0.3846153846y + 0.03846153846y2 = -0.03846153846y2 + 0.03846153846y2

Combine like terms: -0.03846153846y2 + 0.03846153846y2 = 0.00000000000
-0.03846153846 + x2 + -0.3846153846y + 0.03846153846y2 = 0.00000000000

The solution to this equation could not be determined.

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