Solve am=3p^2-9

$$a m = 3 p ^ { 2 } - 9$$

Solve for a

$$\left\{\begin{matrix}a=-\frac{3\left(3-p^{2}\right)}{m}\text{, }&m\neq 0\\a\in \mathrm{R}\text{, }&m=0\text{ and }|p|=\sqrt{3}\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$ma=3p^{2}-9$$

Divide both sides by m.

$$\frac{ma}{m}=\frac{3p^{2}-9}{m}$$

Dividing by m undoes the multiplication by m.

$$a=\frac{3p^{2}-9}{m}$$

Divide 3p^{2}-9 by m.

$$a=\frac{3\left(p^{2}-3\right)}{m}$$

Solve for m

$$\left\{\begin{matrix}m=-\frac{3\left(3-p^{2}\right)}{a}\text{, }&a\neq 0\\m\in \mathrm{R}\text{, }&a=0\text{ and }|p|=\sqrt{3}\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$am=3p^{2}-9$$

Divide both sides by a.

$$\frac{am}{a}=\frac{3p^{2}-9}{a}$$

Dividing by a undoes the multiplication by a.

$$m=\frac{3p^{2}-9}{a}$$

Divide 3p^{2}-9 by a.

$$m=\frac{3\left(p^{2}-3\right)}{a}$$