3w(5w+2)(w^2-36)=0

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Solution for 3w(5w+2)(w^2-36)=0 equation: 


Simplifying
3w(5w + 2)(w2 + -36) = 0

Reorder the terms:
3w(2 + 5w)(w2 + -36) = 0

Reorder the terms:
3w(2 + 5w)(-36 + w2) = 0

Multiply (2 + 5w) * (-36 + w2)
3w(2(-36 + w2) + 5w * (-36 + w2)) = 0
3w((-36 * 2 + w2 * 2) + 5w * (-36 + w2)) = 0
3w((-72 + 2w2) + 5w * (-36 + w2)) = 0
3w(-72 + 2w2 + (-36 * 5w + w2 * 5w)) = 0
3w(-72 + 2w2 + (-180w + 5w3)) = 0

Reorder the terms:
3w(-72 + -180w + 2w2 + 5w3) = 0
3w(-72 + -180w + 2w2 + 5w3) = 0
(-72 * 3w + -180w * 3w + 2w2 * 3w + 5w3 * 3w) = 0
(-216w + -540w2 + 6w3 + 15w4) = 0

Solving
-216w + -540w2 + 6w3 + 15w4 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '3w'.
3w(-72 + -180w + 2w2 + 5w3) = 0

Ignore the factor 3.

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 '(-72 + -180w + 2w2 + 5w3)' equal to zero and attempt to solve:

Simplifying
-72 + -180w + 2w2 + 5w3 = 0

Solving
-72 + -180w + 2w2 + 5w3 = 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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