x^4-5z^2+4=0

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Solution for x^4-5z^2+4=0 equation: 


Simplifying
x4 + -5z2 + 4 = 0

Reorder the terms:
4 + x4 + -5z2 = 0

Solving
4 + x4 + -5z2 = 0

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + x4 + -4 + -5z2 = 0 + -4

Reorder the terms:
4 + -4 + x4 + -5z2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x4 + -5z2 = 0 + -4
x4 + -5z2 = 0 + -4

Combine like terms: 0 + -4 = -4
x4 + -5z2 = -4

Add '5z2' to each side of the equation.
x4 + -5z2 + 5z2 = -4 + 5z2

Combine like terms: -5z2 + 5z2 = 0
x4 + 0 = -4 + 5z2
x4 = -4 + 5z2

Simplifying
x4 = -4 + 5z2

Reorder the terms:
4 + x4 + -5z2 = -4 + 5z2 + 4 + -5z2

Reorder the terms:
4 + x4 + -5z2 = -4 + 4 + 5z2 + -5z2

Combine like terms: -4 + 4 = 0
4 + x4 + -5z2 = 0 + 5z2 + -5z2
4 + x4 + -5z2 = 5z2 + -5z2

Combine like terms: 5z2 + -5z2 = 0
4 + x4 + -5z2 = 0

Factor a trinomial.
(x2 + -1z)(x2 + 5z) = 0


Subproblem 1
Set the factor '(x2 + -1z)' equal to zero and attempt to solve:

Simplifying
x2 + -1z = 0

Solving
x2 + -1z = 0

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

Add 'z' to each side of the equation.
x2 + -1z + z = 0 + z

Combine like terms: -1z + z = 0
x2 + 0 = 0 + z
x2 = 0 + z
Remove the zero:
x2 = z

Simplifying
x2 = z

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 '(x2 + 5z)' equal to zero and attempt to solve:

Simplifying
x2 + 5z = 0

Solving
x2 + 5z = 0

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

Add '-5z' to each side of the equation.
x2 + 5z + -5z = 0 + -5z

Combine like terms: 5z + -5z = 0
x2 + 0 = 0 + -5z
x2 = 0 + -5z
Remove the zero:
x2 = -5z

Simplifying
x2 = -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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