25w^4-1=

Solution for 25w^4-1= equation:

Simplifying
25w4 + -1 = 0

Reorder the terms:
-1 + 25w4 = 0

Solving
-1 + 25w4 = 0

Solving for variable 'w'.

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

Add '1' to each side of the equation.
-1 + 1 + 25w4 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 25w4 = 0 + 1
25w4 = 0 + 1

Combine like terms: 0 + 1 = 1
25w4 = 1

Divide each side by '25'.
w4 = 0.04

Simplifying
w4 = 0.04

Reorder the terms:
-0.04 + w4 = 0.04 + -0.04

Combine like terms: 0.04 + -0.04 = 0.00
-0.04 + w4 = 0.00

Factor a difference between two squares.
(0.2 + w2)(-0.2 + w2) = 0.00

Subproblem 1
Set the factor '(0.2 + w2)' equal to zero and attempt to solve:

Simplifying
0.2 + w2 = 0

Solving
0.2 + w2 = 0

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

Add '-0.2' to each side of the equation.
0.2 + -0.2 + w2 = 0 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + w2 = 0 + -0.2
w2 = 0 + -0.2

Combine like terms: 0 + -0.2 = -0.2
w2 = -0.2

Simplifying
w2 = -0.2

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 '(-0.2 + w2)' equal to zero and attempt to solve:

Simplifying
-0.2 + w2 = 0

Solving
-0.2 + w2 = 0

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

Add '0.2' to each side of the equation.
-0.2 + 0.2 + w2 = 0 + 0.2

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + w2 = 0 + 0.2
w2 = 0 + 0.2

Combine like terms: 0 + 0.2 = 0.2
w2 = 0.2

Simplifying
w2 = 0.2

Take the square root of each side:
w = {-0.447213596, 0.447213596}
Solution
w = {-0.447213596, 0.447213596}