4w^4-40w^2=44

Solution for 4w^4-40w^2=44 equation:

Simplifying
4w4 + -40w2 = 44

Reorder the terms:
-40w2 + 4w4 = 44

Solving
-40w2 + 4w4 = 44

Solving for variable 'w'.

Reorder the terms:
-44 + -40w2 + 4w4 = 44 + -44

Combine like terms: 44 + -44 = 0
-44 + -40w2 + 4w4 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-11 + -10w2 + w4) = 0

Factor a trinomial.
4((-1 + -1w2)(11 + -1w2)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-1 + -1w2)' equal to zero and attempt to solve:

Simplifying
-1 + -1w2 = 0

Solving
-1 + -1w2 = 0

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

Add '1' to each side of the equation.
-1 + 1 + -1w2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1w2 = 0 + 1
-1w2 = 0 + 1

Combine like terms: 0 + 1 = 1
-1w2 = 1

Divide each side by '-1'.
w2 = -1

Simplifying
w2 = -1

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 '(11 + -1w2)' equal to zero and attempt to solve:

Simplifying
11 + -1w2 = 0

Solving
11 + -1w2 = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1w2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1w2 = 0 + -11
-1w2 = 0 + -11

Combine like terms: 0 + -11 = -11
-1w2 = -11

Divide each side by '-1'.
w2 = 11

Simplifying
w2 = 11

Take the square root of each side:
w = {-3.31662479, 3.31662479}
Solution
w = {-3.31662479, 3.31662479}