0.8981=w(1-0.59w)

Solution for 0.8981=w(1-0.59w) equation:

Simplifying
0.8981 = w(1 + -0.59w)
0.8981 = (1 * w + -0.59w * w)
0.8981 = (1w + -0.59w2)

Solving
0.8981 = 1w + -0.59w2

Solving for variable 'w'.

Reorder the terms:
0.8981 + -1w + 0.59w2 = 1w + -1w + -0.59w2 + 0.59w2

Combine like terms: 1w + -1w = 0
0.8981 + -1w + 0.59w2 = 0 + -0.59w2 + 0.59w2
0.8981 + -1w + 0.59w2 = -0.59w2 + 0.59w2

Combine like terms: -0.59w2 + 0.59w2 = 0.00
0.8981 + -1w + 0.59w2 = 0.00

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

Divide each side by '0.59'.
1.52220339 + -1.694915254w + w2 = 0

Move the constant term to the right:

Add '-1.52220339' to each side of the equation.
1.52220339 + -1.694915254w + -1.52220339 + w2 = 0 + -1.52220339

Reorder the terms:
1.52220339 + -1.52220339 + -1.694915254w + w2 = 0 + -1.52220339

Combine like terms: 1.52220339 + -1.52220339 = 0.00000000
0.00000000 + -1.694915254w + w2 = 0 + -1.52220339
-1.694915254w + w2 = 0 + -1.52220339

Combine like terms: 0 + -1.52220339 = -1.52220339
-1.694915254w + w2 = -1.52220339

The w term is -1.694915254w.  Take half its coefficient (-0.847457627).
Square it (0.7181844296) and add it to both sides.

Add '0.7181844296' to each side of the equation.
-1.694915254w + 0.7181844296 + w2 = -1.52220339 + 0.7181844296

Reorder the terms:
0.7181844296 + -1.694915254w + w2 = -1.52220339 + 0.7181844296

Combine like terms: -1.52220339 + 0.7181844296 = -0.8040189604
0.7181844296 + -1.694915254w + w2 = -0.8040189604

Factor a perfect square on the left side:
(w + -0.847457627)(w + -0.847457627) = -0.8040189604

Can't calculate square root of the right side.

The solution to this equation could not be determined.