6w^6+21w^5+15w^4=

Solution for 6w^6+21w^5+15w^4= equation:

Simplifying
6w6 + 21w5 + 15w4 = 0

Reorder the terms:
15w4 + 21w5 + 6w6 = 0

Solving
15w4 + 21w5 + 6w6 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '3w4'.
3w4(5 + 7w + 2w2) = 0

Factor a trinomial.
3w4((5 + 2w)(1 + w)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 'w4' equal to zero and attempt to solve:

Simplifying
w4 = 0

Solving
w4 = 0

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

Simplifying
w4 = 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 '(5 + 2w)' equal to zero and attempt to solve:

Simplifying
5 + 2w = 0

Solving
5 + 2w = 0

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

Add '-5' to each side of the equation.
5 + -5 + 2w = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2w = 0 + -5
2w = 0 + -5

Combine like terms: 0 + -5 = -5
2w = -5

Divide each side by '2'.
w = -2.5

Simplifying
w = -2.5
Subproblem 3
Set the factor '(1 + w)' equal to zero and attempt to solve:

Simplifying
1 + w = 0

Solving
1 + w = 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 + w = 0 + -1

Combine like terms: 1 + -1 = 0
0 + w = 0 + -1
w = 0 + -1

Combine like terms: 0 + -1 = -1
w = -1

Simplifying
w = -1
Solution
w = {-2.5, -1}