15.82=x*(1-x)

Solution for 15.82=x*(1-x) equation:

Simplifying
15.82 = x(1 + -1x)
15.82 = (1 * x + -1x * x)
15.82 = (1x + -1x2)

Solving
15.82 = 1x + -1x2

Solving for variable 'x'.

Reorder the terms:
15.82 + -1x + x2 = 1x + -1x + -1x2 + x2

Combine like terms: 1x + -1x = 0
15.82 + -1x + x2 = 0 + -1x2 + x2
15.82 + -1x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
15.82 + -1x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-15.82' to each side of the equation.
15.82 + -1x + -15.82 + x2 = 0 + -15.82

Reorder the terms:
15.82 + -15.82 + -1x + x2 = 0 + -15.82

Combine like terms: 15.82 + -15.82 = 0.00
0.00 + -1x + x2 = 0 + -15.82
-1x + x2 = 0 + -15.82

Combine like terms: 0 + -15.82 = -15.82
-1x + x2 = -15.82

The x term is -1x.  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.
-1x + 0.25 + x2 = -15.82 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -15.82 + 0.25

Combine like terms: -15.82 + 0.25 = -15.57
0.25 + -1x + x2 = -15.57

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -15.57

Can't calculate square root of the right side.

The solution to this equation could not be determined.