X^2+y^4+4x-10y-51=0

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Solution for X^2+y^4+4x-10y-51=0 equation: 


Simplifying
X2 + y4 + 4x + -10y + -51 = 0

Reorder the terms:
-51 + X2 + 4x + -10y + y4 = 0

Solving
-51 + X2 + 4x + -10y + y4 = 0

Solving for variable 'X'.

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

Add '51' to each side of the equation.
-51 + X2 + 4x + -10y + 51 + y4 = 0 + 51

Reorder the terms:
-51 + 51 + X2 + 4x + -10y + y4 = 0 + 51

Combine like terms: -51 + 51 = 0
0 + X2 + 4x + -10y + y4 = 0 + 51
X2 + 4x + -10y + y4 = 0 + 51

Combine like terms: 0 + 51 = 51
X2 + 4x + -10y + y4 = 51

Add '-4x' to each side of the equation.
X2 + 4x + -10y + -4x + y4 = 51 + -4x

Reorder the terms:
X2 + 4x + -4x + -10y + y4 = 51 + -4x

Combine like terms: 4x + -4x = 0
X2 + 0 + -10y + y4 = 51 + -4x
X2 + -10y + y4 = 51 + -4x

Add '10y' to each side of the equation.
X2 + -10y + 10y + y4 = 51 + -4x + 10y

Combine like terms: -10y + 10y = 0
X2 + 0 + y4 = 51 + -4x + 10y
X2 + y4 = 51 + -4x + 10y

Add '-1y4' to each side of the equation.
X2 + y4 + -1y4 = 51 + -4x + 10y + -1y4

Combine like terms: y4 + -1y4 = 0
X2 + 0 = 51 + -4x + 10y + -1y4
X2 = 51 + -4x + 10y + -1y4

Simplifying
X2 = 51 + -4x + 10y + -1y4

Reorder the terms:
-51 + X2 + 4x + -10y + y4 = 51 + -4x + 10y + -1y4 + -51 + 4x + -10y + y4

Reorder the terms:
-51 + X2 + 4x + -10y + y4 = 51 + -51 + -4x + 4x + 10y + -10y + -1y4 + y4

Combine like terms: 51 + -51 = 0
-51 + X2 + 4x + -10y + y4 = 0 + -4x + 4x + 10y + -10y + -1y4 + y4
-51 + X2 + 4x + -10y + y4 = -4x + 4x + 10y + -10y + -1y4 + y4

Combine like terms: -4x + 4x = 0
-51 + X2 + 4x + -10y + y4 = 0 + 10y + -10y + -1y4 + y4
-51 + X2 + 4x + -10y + y4 = 10y + -10y + -1y4 + y4

Combine like terms: 10y + -10y = 0
-51 + X2 + 4x + -10y + y4 = 0 + -1y4 + y4
-51 + X2 + 4x + -10y + y4 = -1y4 + y4

Combine like terms: -1y4 + y4 = 0
-51 + X2 + 4x + -10y + y4 = 0

The solution to this equation could not be determined.

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