11w(w^2+2w+6)=

Solution for 11w(w^2+2w+6)= equation:

Simplifying
11w(w2 + 2w + 6) = 0

Reorder the terms:
11w(6 + 2w + w2) = 0
(6 * 11w + 2w * 11w + w2 * 11w) = 0
(66w + 22w2 + 11w3) = 0

Solving
66w + 22w2 + 11w3 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '11w'.
11w(6 + 2w + w2) = 0

Ignore the factor 11.
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 '(6 + 2w + w2)' equal to zero and attempt to solve:

Simplifying
6 + 2w + w2 = 0

Solving
6 + 2w + w2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + 2w + -6 + w2 = 0 + -6

Reorder the terms:
6 + -6 + 2w + w2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 2w + w2 = 0 + -6
2w + w2 = 0 + -6

Combine like terms: 0 + -6 = -6
2w + w2 = -6

The w term is 2w.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2w + 1 + w2 = -6 + 1

Reorder the terms:
1 + 2w + w2 = -6 + 1

Combine like terms: -6 + 1 = -5
1 + 2w + w2 = -5

Factor a perfect square on the left side:
(w + 1)(w + 1) = -5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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