2z^4-1250=

Solution for 2z^4-1250= equation:

Simplifying
2z4 + -1250 = 0

Reorder the terms:
-1250 + 2z4 = 0

Solving
-1250 + 2z4 = 0

Solving for variable 'z'.

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

Add '1250' to each side of the equation.
-1250 + 1250 + 2z4 = 0 + 1250

Combine like terms: -1250 + 1250 = 0
0 + 2z4 = 0 + 1250
2z4 = 0 + 1250

Combine like terms: 0 + 1250 = 1250
2z4 = 1250

Divide each side by '2'.
z4 = 625

Simplifying
z4 = 625

Reorder the terms:
-625 + z4 = 625 + -625

Combine like terms: 625 + -625 = 0
-625 + z4 = 0

Factor a difference between two squares.
(25 + z2)(-25 + z2) = 0

Factor a difference between two squares.
(25 + z2)((5 + z)(-5 + z)) = 0

Subproblem 1
Set the factor '(25 + z2)' equal to zero and attempt to solve:

Simplifying
25 + z2 = 0

Solving
25 + z2 = 0

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

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

Combine like terms: 25 + -25 = 0
0 + z2 = 0 + -25
z2 = 0 + -25

Combine like terms: 0 + -25 = -25
z2 = -25

Simplifying
z2 = -25

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

Simplifying
5 + z = 0

Solving
5 + z = 0

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

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

Combine like terms: 5 + -5 = 0
0 + z = 0 + -5
z = 0 + -5

Combine like terms: 0 + -5 = -5
z = -5

Simplifying
z = -5
Subproblem 3
Set the factor '(-5 + z)' equal to zero and attempt to solve:

Simplifying
-5 + z = 0

Solving
-5 + z = 0

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

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

Combine like terms: -5 + 5 = 0
0 + z = 0 + 5
z = 0 + 5

Combine like terms: 0 + 5 = 5
z = 5

Simplifying
z = 5
Solution
z = {-5, 5}