x^2+y^4+z^6=1

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Solution for x^2+y^4+z^6=1 equation:


Simplifying
x2 + y4 + z6 = 1

Solving
x2 + y4 + z6 = 1

Solving for variable 'x'.

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

Add '-1y4' to each side of the equation.
x2 + y4 + -1y4 + z6 = 1 + -1y4

Combine like terms: y4 + -1y4 = 0
x2 + 0 + z6 = 1 + -1y4
x2 + z6 = 1 + -1y4

Add '-1z6' to each side of the equation.
x2 + z6 + -1z6 = 1 + -1y4 + -1z6

Combine like terms: z6 + -1z6 = 0
x2 + 0 = 1 + -1y4 + -1z6
x2 = 1 + -1y4 + -1z6

Simplifying
x2 = 1 + -1y4 + -1z6

Reorder the terms:
-1 + x2 + y4 + z6 = 1 + -1y4 + -1z6 + -1 + y4 + z6

Reorder the terms:
-1 + x2 + y4 + z6 = 1 + -1 + -1y4 + y4 + -1z6 + z6

Combine like terms: 1 + -1 = 0
-1 + x2 + y4 + z6 = 0 + -1y4 + y4 + -1z6 + z6
-1 + x2 + y4 + z6 = -1y4 + y4 + -1z6 + z6

Combine like terms: -1y4 + y4 = 0
-1 + x2 + y4 + z6 = 0 + -1z6 + z6
-1 + x2 + y4 + z6 = -1z6 + z6

Combine like terms: -1z6 + z6 = 0
-1 + x2 + y4 + z6 = 0

The solution to this equation could not be determined.

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