(-6w^4+w^2)-(-2w^3+4w^2-w)=0

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Solution for (-6w^4+w^2)-(-2w^3+4w^2-w)=0 equation: 


Simplifying
(-6w4 + w2) + -1(-2w3 + 4w2 + -1w) = 0

Reorder the terms:
(w2 + -6w4) + -1(-2w3 + 4w2 + -1w) = 0

Remove parenthesis around (w2 + -6w4)
w2 + -6w4 + -1(-2w3 + 4w2 + -1w) = 0

Reorder the terms:
w2 + -6w4 + -1(-1w + 4w2 + -2w3) = 0
w2 + -6w4 + (-1w * -1 + 4w2 * -1 + -2w3 * -1) = 0
w2 + -6w4 + (1w + -4w2 + 2w3) = 0

Reorder the terms:
1w + w2 + -4w2 + 2w3 + -6w4 = 0

Combine like terms: w2 + -4w2 = -3w2
1w + -3w2 + 2w3 + -6w4 = 0

Solving
1w + -3w2 + 2w3 + -6w4 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), 'w'.
w(1 + -3w + 2w2 + -6w3) = 0


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

Simplifying
w = 0

Solving
w = 0

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

Simplifying
w = 0

Subproblem 2
Set the factor '(1 + -3w + 2w2 + -6w3)' equal to zero and attempt to solve:

Simplifying
1 + -3w + 2w2 + -6w3 = 0

Solving
1 + -3w + 2w2 + -6w3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
w = {0}

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