10w(5w^6+4w^3-2w)=

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Solution for 10w(5w^6+4w^3-2w)= equation: 


Simplifying
10w(5w6 + 4w3 + -2w) = 0

Reorder the terms:
10w(-2w + 4w3 + 5w6) = 0
(-2w * 10w + 4w3 * 10w + 5w6 * 10w) = 0
(-20w2 + 40w4 + 50w7) = 0

Solving
-20w2 + 40w4 + 50w7 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '10w2'.
10w2(-2 + 4w2 + 5w5) = 0

Ignore the factor 10.

Subproblem 1
Set the factor 'w2' equal to zero and attempt to solve:

Simplifying
w2 = 0

Solving
w2 = 0

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

Simplifying
w2 = 0

Take the square root of each side:
w = {0}

Subproblem 2
Set the factor '(-2 + 4w2 + 5w5)' equal to zero and attempt to solve:

Simplifying
-2 + 4w2 + 5w5 = 0

Solving
-2 + 4w2 + 5w5 = 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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