x^22y^2=z^2

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Solution for x^22y^2=z^2 equation: 


Simplifying
x22y2 = z2

Solving
x22y2 = z2

Solving for variable 'x'.

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

Divide each side by 'y2'.
x22 = y-2z2

Simplifying
x22 = y-2z2

Combine like terms: y-2z2 + -1y-2z2 = 0
x22 + -1y-2z2 = 0

Factor a difference between two squares.
(x11 + y-1z)(x11 + -1y-1z) = 0


Subproblem 1
Set the factor '(x11 + y-1z)' equal to zero and attempt to solve:

Simplifying
x11 + y-1z = 0

Solving
x11 + y-1z = 0

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

Add '-1y-1z' to each side of the equation.
x11 + y-1z + -1y-1z = 0 + -1y-1z

Combine like terms: y-1z + -1y-1z = 0
x11 + 0 = 0 + -1y-1z
x11 = 0 + -1y-1z
Remove the zero:
x11 = -1y-1z

Simplifying
x11 = -1y-1z

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(x11 + -1y-1z)' equal to zero and attempt to solve:

Simplifying
x11 + -1y-1z = 0

Solving
x11 + -1y-1z = 0

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

Add 'y-1z' to each side of the equation.
x11 + -1y-1z + y-1z = 0 + y-1z

Combine like terms: -1y-1z + y-1z = 0
x11 + 0 = 0 + y-1z
x11 = 0 + y-1z
Remove the zero:
x11 = y-1z

Simplifying
x11 = y-1z

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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