Solve sqrt{2x}=8w-3y

$$\sqrt { 2 x } = 8 w - 3 y$$

Solve for x

$$x=\frac{\left(8w-3y\right)^{2}}{2}$$

$$8w-3y\geq 0$$

Steps for Solving Radical Equations

Square both sides of the equation.

$$2x=\left(8w-3y\right)^{2}$$

Divide both sides by 2.

$$\frac{2x}{2}=\frac{\left(8w-3y\right)^{2}}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$x=\frac{\left(8w-3y\right)^{2}}{2}$$

Solve for w (complex solution)

$$w=\frac{3y+\sqrt{2x}}{8}$$

Solve for x (complex solution)

$$x=\frac{\left(8w-3y\right)^{2}}{2}$$

$$w=\frac{3y}{8}\text{ or }arg(8w-3y)<\pi$$

Solve for w

$$w=\frac{3y+\sqrt{2x}}{8}$$

$$x\geq 0$$