2(w^2+w+3)=

Solution for 2(w^2+w+3)= equation:

Simplifying
2(w2 + w + 3) = 0

Reorder the terms:
2(3 + w + w2) = 0
(3 * 2 + w * 2 + w2 * 2) = 0
(6 + 2w + 2w2) = 0

Solving
6 + 2w + 2w2 = 0

Solving for variable 'w'.

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

Ignore the factor 2.
Subproblem 1
Set the factor '(3 + w + w2)' equal to zero and attempt to solve:

Simplifying
3 + w + w2 = 0

Solving
3 + w + w2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + w + -3 + w2 = 0 + -3

Reorder the terms:
3 + -3 + w + w2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + w + w2 = 0 + -3
w + w2 = 0 + -3

Combine like terms: 0 + -3 = -3
w + w2 = -3

The w term is w.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
w + 0.25 + w2 = -3 + 0.25

Reorder the terms:
0.25 + w + w2 = -3 + 0.25

Combine like terms: -3 + 0.25 = -2.75
0.25 + w + w2 = -2.75

Factor a perfect square on the left side:
(w + 0.5)(w + 0.5) = -2.75

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.

The solution to this equation could not be determined.