3.84=x(1-x)

Solution for 3.84=x(1-x) equation:

Simplifying
3.84 = x(1 + -1x)
3.84 = (1 * x + -1x * x)
3.84 = (1x + -1x2)

Solving
3.84 = 1x + -1x2

Solving for variable 'x'.

Reorder the terms:
3.84 + -1x + x2 = 1x + -1x + -1x2 + x2

Combine like terms: 1x + -1x = 0
3.84 + -1x + x2 = 0 + -1x2 + x2
3.84 + -1x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
3.84 + -1x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-3.84' to each side of the equation.
3.84 + -1x + -3.84 + x2 = 0 + -3.84

Reorder the terms:
3.84 + -3.84 + -1x + x2 = 0 + -3.84

Combine like terms: 3.84 + -3.84 = 0.00
0.00 + -1x + x2 = 0 + -3.84
-1x + x2 = 0 + -3.84

Combine like terms: 0 + -3.84 = -3.84
-1x + x2 = -3.84

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 = -3.84 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -3.84 + 0.25

Combine like terms: -3.84 + 0.25 = -3.59
0.25 + -1x + x2 = -3.59

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -3.59

Can't calculate square root of the right side.

The solution to this equation could not be determined.