Solve 3-2m=2sqrt{2}m

$$3 - 2 m = 2 \sqrt { 2 } m$$

Solve for m

$$m=\frac{3\left(\sqrt{2}-1\right)}{2}\approx 0.621320344$$

Steps for Solving Linear Equation

Subtract 2\sqrt{2}m from both sides.

$$3-2m-2\sqrt{2}m=0$$

Subtract 3 from both sides. Anything subtracted from zero gives its negation.

$$-2m-2\sqrt{2}m=-3$$

Combine all terms containing m.

$$\left(-2-2\sqrt{2}\right)m=-3$$

The equation is in standard form.

$$\left(-2\sqrt{2}-2\right)m=-3$$

Divide both sides by -2-2\sqrt{2}.

$$\frac{\left(-2\sqrt{2}-2\right)m}{-2\sqrt{2}-2}=-\frac{3}{-2\sqrt{2}-2}$$

Dividing by -2-2\sqrt{2} undoes the multiplication by -2-2\sqrt{2}.

$$m=-\frac{3}{-2\sqrt{2}-2}$$

Divide -3 by -2-2\sqrt{2}.

$$m=\frac{3\sqrt{2}-3}{2}$$