Solve x-2sqrt{2}y+4k=0

$$x - 2 \sqrt { 2 } y + 4 k = 0$$

Solve for k

$$k=\frac{\sqrt{2}y}{2}-\frac{x}{4}$$

Steps for Solving Linear Equation

Subtract x-2\sqrt{2}y from both sides. Anything subtracted from zero gives its negation.

$$4k=-\left(x-2\sqrt{2}y\right)$$

To find the opposite of x-2\sqrt{2}y, find the opposite of each term.

$$4k=-x+2\sqrt{2}y$$

The equation is in standard form.

$$4k=2\sqrt{2}y-x$$

Divide both sides by 4.

$$\frac{4k}{4}=\frac{2\sqrt{2}y-x}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$k=\frac{2\sqrt{2}y-x}{4}$$

Divide -x+2y\sqrt{2} by 4.

$$k=\frac{\sqrt{2}y}{2}-\frac{x}{4}$$

Solve for x

$$x=2\sqrt{2}y-4k$$