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

x + 2 = 1 - 3 x + 7

0 = x + 2

x + 15 - x - 6 = 3

x + 8 = 8

u = 30 - 13 u

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