Solve THH/M=2

$$\frac { T H H } { M } = 2$$

Solve for M

$$M=\frac{TH^{2}}{2}$$

$$H\neq 0\text{ and }T\neq 0$$

Steps for Solving Linear Equation

Variable M cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by M.

$$THH=2M$$

Multiply H and H to get H^{2}.

$$TH^{2}=2M$$

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

$$2M=TH^{2}$$

Divide both sides by 2.

$$\frac{2M}{2}=\frac{TH^{2}}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$M=\frac{TH^{2}}{2}$$

Variable M cannot be equal to 0.

$$M=\frac{TH^{2}}{2}\text{, }M\neq 0$$

Solve for H (complex solution)

$$H=-T^{-\frac{1}{2}}\sqrt{2M}$$

$$H=T^{-\frac{1}{2}}\sqrt{2M}\text{, }T\neq 0\text{ and }M\neq 0$$

Solve for H

$$H=\sqrt{\frac{2M}{T}}$$

$$H=-\sqrt{\frac{2M}{T}}\text{, }\left(T<0\text{ and }M<0\right)\text{ or }\left(T>0\text{ and }M>0\right)$$