25x^12y^10-4z^2=0

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Solution for 25x^12y^10-4z^2=0 equation: 


Simplifying
25x12y10 + -4z2 = 0

Solving
25x12y10 + -4z2 = 0

Solving for variable 'x'.

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

Add '4z2' to each side of the equation.
25x12y10 + -4z2 + 4z2 = 0 + 4z2

Combine like terms: -4z2 + 4z2 = 0
25x12y10 + 0 = 0 + 4z2
25x12y10 = 0 + 4z2
Remove the zero:
25x12y10 = 4z2

Divide each side by '25y10'.
x12 = 0.16y-10z2

Simplifying
x12 = 0.16y-10z2

Combine like terms: 0.16y-10z2 + -0.16y-10z2 = 0.00
x12 + -0.16y-10z2 = 0.00

Factor a difference between two squares.
(x6 + 0.4y-5z)(x6 + -0.4y-5z) = 0.00


Subproblem 1
Set the factor '(x6 + 0.4y-5z)' equal to zero and attempt to solve:

Simplifying
x6 + 0.4y-5z = 0

Solving
x6 + 0.4y-5z = 0

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

Add '-0.4y-5z' to each side of the equation.
x6 + 0.4y-5z + -0.4y-5z = 0 + -0.4y-5z

Combine like terms: 0.4y-5z + -0.4y-5z = 0.0
x6 + 0.0 = 0 + -0.4y-5z
x6 = 0 + -0.4y-5z
Remove the zero:
x6 = -0.4y-5z

Simplifying
x6 = -0.4y-5z

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 '(x6 + -0.4y-5z)' equal to zero and attempt to solve:

Simplifying
x6 + -0.4y-5z = 0

Solving
x6 + -0.4y-5z = 0

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

Add '0.4y-5z' to each side of the equation.
x6 + -0.4y-5z + 0.4y-5z = 0 + 0.4y-5z

Combine like terms: -0.4y-5z + 0.4y-5z = 0.0
x6 + 0.0 = 0 + 0.4y-5z
x6 = 0 + 0.4y-5z
Remove the zero:
x6 = 0.4y-5z

Simplifying
x6 = 0.4y-5z

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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