Solve y=x-2sqrt{1}(1+x)

$$y = x - 2 \sqrt { 1 } ( 1 + x )$$

Solve for x

$$x=-\left(y+2\right)$$

Steps for Solving Linear Equation

Calculate the square root of 1 and get 1.

$$y=x-2\times 1\left(1+x\right)$$

Multiply 2 and 1 to get 2.

$$y=x-2\left(1+x\right)$$

Use the distributive property to multiply -2 by 1+x.

$$y=x-2-2x$$

Combine x and -2x to get -x.

$$y=-x-2$$

Swap sides so that all variable terms are on the left hand side.

$$-x-2=y$$

Add 2 to both sides.

$$-x=y+2$$

Divide both sides by -1.

$$\frac{-x}{-1}=\frac{y+2}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$x=\frac{y+2}{-1}$$

Divide y+2 by -1.

$$x=-\left(y+2\right)$$

Solve for y

$$y=-\left(x+2\right)$$

Solution Steps

Calculate the square root of 1 and get 1.

$$y=x-2\times 1\left(1+x\right)$$

Multiply 2 and 1 to get 2.

$$y=x-2\left(1+x\right)$$

Use the distributive property to multiply -2 by 1+x.

$$y=x-2-2x$$

Combine x and -2x to get -x.

$$y=-x-2$$