25w^4-4=

Solution for 25w^4-4= equation:

Simplifying
25w4 + -4 = 0

Reorder the terms:
-4 + 25w4 = 0

Solving
-4 + 25w4 = 0

Solving for variable 'w'.

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

Add '4' to each side of the equation.
-4 + 4 + 25w4 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 25w4 = 0 + 4
25w4 = 0 + 4

Combine like terms: 0 + 4 = 4
25w4 = 4

Divide each side by '25'.
w4 = 0.16

Simplifying
w4 = 0.16

Reorder the terms:
-0.16 + w4 = 0.16 + -0.16

Combine like terms: 0.16 + -0.16 = 0.00
-0.16 + w4 = 0.00

Factor a difference between two squares.
(0.4 + w2)(-0.4 + w2) = 0.00

Subproblem 1
Set the factor '(0.4 + w2)' equal to zero and attempt to solve:

Simplifying
0.4 + w2 = 0

Solving
0.4 + w2 = 0

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

Add '-0.4' to each side of the equation.
0.4 + -0.4 + w2 = 0 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + w2 = 0 + -0.4
w2 = 0 + -0.4

Combine like terms: 0 + -0.4 = -0.4
w2 = -0.4

Simplifying
w2 = -0.4

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 '(-0.4 + w2)' equal to zero and attempt to solve:

Simplifying
-0.4 + w2 = 0

Solving
-0.4 + w2 = 0

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

Add '0.4' to each side of the equation.
-0.4 + 0.4 + w2 = 0 + 0.4

Combine like terms: -0.4 + 0.4 = 0.0
0.0 + w2 = 0 + 0.4
w2 = 0 + 0.4

Combine like terms: 0 + 0.4 = 0.4
w2 = 0.4

Simplifying
w2 = 0.4

Take the square root of each side:
w = {-0.632455532, 0.632455532}
Solution
w = {-0.632455532, 0.632455532}