Solve c=a/m+ma

$$c = \frac { a } { m } + m a$$

Solve for a

$$a=\frac{cm}{m^{2}+1}$$

$$m\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by m.

$$cm=a+mam$$

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

$$cm=a+m^{2}a$$

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

$$a+m^{2}a=cm$$

Combine all terms containing a.

$$\left(1+m^{2}\right)a=cm$$

The equation is in standard form.

$$\left(m^{2}+1\right)a=cm$$

Divide both sides by 1+m^{2}.

$$\frac{\left(m^{2}+1\right)a}{m^{2}+1}=\frac{cm}{m^{2}+1}$$

Dividing by 1+m^{2} undoes the multiplication by 1+m^{2}.

$$a=\frac{cm}{m^{2}+1}$$

Solve for c

$$c=am+\frac{a}{m}$$

$$m\neq 0$$