(X-3)(4w^3+5w^2+w)=0

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Solution for (X-3)(4w^3+5w^2+w)=0 equation: 


Simplifying
(X + -3)(4w3 + 5w2 + w) = 0

Reorder the terms:
(-3 + X)(4w3 + 5w2 + w) = 0

Reorder the terms:
(-3 + X)(w + 5w2 + 4w3) = 0

Multiply (-3 + X) * (w + 5w2 + 4w3)
(-3(w + 5w2 + 4w3) + X(w + 5w2 + 4w3)) = 0
((w * -3 + 5w2 * -3 + 4w3 * -3) + X(w + 5w2 + 4w3)) = 0
((-3w + -15w2 + -12w3) + X(w + 5w2 + 4w3)) = 0
(-3w + -15w2 + -12w3 + (w * X + 5w2 * X + 4w3 * X)) = 0
(-3w + -15w2 + -12w3 + (wX + 5w2X + 4w3X)) = 0

Reorder the terms:
(-3w + wX + -15w2 + 5w2X + -12w3 + 4w3X) = 0
(-3w + wX + -15w2 + 5w2X + -12w3 + 4w3X) = 0

Solving
-3w + wX + -15w2 + 5w2X + -12w3 + 4w3X = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), 'w'.
w(-3 + X + -15w + 5wX + -12w2 + 4w2X) = 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 '(-3 + X + -15w + 5wX + -12w2 + 4w2X)' equal to zero and attempt to solve:

Simplifying
-3 + X + -15w + 5wX + -12w2 + 4w2X = 0

Solving
-3 + X + -15w + 5wX + -12w2 + 4w2X = 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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