w(2-2w)=14

Solution for w(2-2w)=14 equation:

Simplifying
w(2 + -2w) = 14
(2 * w + -2w * w) = 14
(2w + -2w2) = 14

Solving
2w + -2w2 = 14

Solving for variable 'w'.

Reorder the terms:
-14 + 2w + -2w2 = 14 + -14

Combine like terms: 14 + -14 = 0
-14 + 2w + -2w2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-7 + w + -1w2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-7 + w + -1w2)' equal to zero and attempt to solve:

Simplifying
-7 + w + -1w2 = 0

Solving
-7 + w + -1w2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
7 + -1w + w2 = 0

Move the constant term to the right:

Add '-7' to each side of the equation.
7 + -1w + -7 + w2 = 0 + -7

Reorder the terms:
7 + -7 + -1w + w2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1w + w2 = 0 + -7
-1w + w2 = 0 + -7

Combine like terms: 0 + -7 = -7
-1w + w2 = -7

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.
-1w + 0.25 + w2 = -7 + 0.25

Reorder the terms:
0.25 + -1w + w2 = -7 + 0.25

Combine like terms: -7 + 0.25 = -6.75
0.25 + -1w + w2 = -6.75

Factor a perfect square on the left side:
(w + 0.5)(w + 0.5) = -6.75

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.