207.9=0.704w(1-0.59w)

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Solution for 207.9=0.704w(1-0.59w) equation: 


Simplifying
207.9 = 0.704w(1 + -0.59w)
207.9 = (1 * 0.704w + -0.59w * 0.704w)
207.9 = (0.704w + -0.41536w2)

Solving
207.9 = 0.704w + -0.41536w2

Solving for variable 'w'.

Reorder the terms:
207.9 + -0.704w + 0.41536w2 = 0.704w + -0.704w + -0.41536w2 + 0.41536w2

Combine like terms: 0.704w + -0.704w = 0.000
207.9 + -0.704w + 0.41536w2 = 0.000 + -0.41536w2 + 0.41536w2
207.9 + -0.704w + 0.41536w2 = -0.41536w2 + 0.41536w2

Combine like terms: -0.41536w2 + 0.41536w2 = 0.00000
207.9 + -0.704w + 0.41536w2 = 0.00000

Begin completing the square.  Divide all terms by
0.41536 the coefficient of the squared term: 

Divide each side by '0.41536'.
500.529661 + -1.694915254w + w2 = 0

Move the constant term to the right:

Add '-500.529661' to each side of the equation.
500.529661 + -1.694915254w + -500.529661 + w2 = 0 + -500.529661

Reorder the terms:
500.529661 + -500.529661 + -1.694915254w + w2 = 0 + -500.529661

Combine like terms: 500.529661 + -500.529661 = 0.000000
0.000000 + -1.694915254w + w2 = 0 + -500.529661
-1.694915254w + w2 = 0 + -500.529661

Combine like terms: 0 + -500.529661 = -500.529661
-1.694915254w + w2 = -500.529661

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 = -500.529661 + 0.7181844296

Reorder the terms:
0.7181844296 + -1.694915254w + w2 = -500.529661 + 0.7181844296

Combine like terms: -500.529661 + 0.7181844296 = -499.8114765704
0.7181844296 + -1.694915254w + w2 = -499.8114765704

Factor a perfect square on the left side:
(w + -0.847457627)(w + -0.847457627) = -499.8114765704

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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