33w^7+55w^5-22w^3=0

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Solution for 33w^7+55w^5-22w^3=0 equation: 


Simplifying
33w7 + 55w5 + -22w3 = 0

Reorder the terms:
-22w3 + 55w5 + 33w7 = 0

Solving
-22w3 + 55w5 + 33w7 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '11w3'.
11w3(-2 + 5w2 + 3w4) = 0

Factor a trinomial.
11w3((-2 + -1w2)(1 + -3w2)) = 0

Ignore the factor 11.

Subproblem 1
Set the factor 'w3' equal to zero and attempt to solve:

Simplifying
w3 = 0

Solving
w3 = 0

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

Simplifying
w3 = 0

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 '(-2 + -1w2)' equal to zero and attempt to solve:

Simplifying
-2 + -1w2 = 0

Solving
-2 + -1w2 = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1w2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1w2 = 0 + 2
-1w2 = 0 + 2

Combine like terms: 0 + 2 = 2
-1w2 = 2

Divide each side by '-1'.
w2 = -2

Simplifying
w2 = -2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(1 + -3w2)' equal to zero and attempt to solve:

Simplifying
1 + -3w2 = 0

Solving
1 + -3w2 = 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 + -3w2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3w2 = 0 + -1
-3w2 = 0 + -1

Combine like terms: 0 + -1 = -1
-3w2 = -1

Divide each side by '-3'.
w2 = 0.3333333333

Simplifying
w2 = 0.3333333333

Take the square root of each side:
w = {-0.577350269, 0.577350269}
Solution
w = {-0.577350269, 0.577350269}

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