What is the answer to x(1-x)=2x-xsqrt((1-x)) ?

The answer to x(1-x)=2x-xsqrt((1-x)) is x=0

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x(1-x)=2x-xsqrt((1-x))

x (1 - x) = 2 x - x (1 - x)

x = 0

Solution steps

x (1 - x) = 2 x - x (1 - x)

Subtract

2 x - x 1 - x

from both sides

x (1 - x) - (2 x - x 1 - x) = 2 x - x 1 - x - (2 x - x 1 - x)

Simplify

- x^{2} + 1 - x x - x = 0

Factor

- x^{2} + 1 - x x - x : - x (x - 1 - x + 1)

- x (x - 1 - x + 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 1 - x + 1 = 0

Solve

x - 1 - x + 1 = 0 : x = 0

x = 0

Verify Solutions:

x = 0

True

The solution is

x = 0

6 = 49 - x^{2}

x^{- 0.5} = 10.23

2 1 - r = 1 + 2 r - 1

3 x^{\frac{5}{2}} - 24 x^{2} = 0

What is the answer to x(1-x)=2x-xsqrt((1-x)) ?
The answer to x(1-x)=2x-xsqrt((1-x)) is x=0
Solve for x: x(1-x)=2x-xsqrt((1-x))
The solution is x=0