Solve x/2m^2=4032m^2

$$x / 2 m ^ { 2 } = 4032 m ^ { 2 }$$

Solve for m (complex solution)

$$\left\{\begin{matrix}\\m=0\text{, }&\text{unconditionally}\\m\in \mathrm{C}\text{, }&x=8064\end{matrix}\right.$$

Steps by Finding Square Root

Multiply both sides of the equation by 2.

$$xm^{2}=8064m^{2}$$

Subtract 8064m^{2} from both sides.

$$xm^{2}-8064m^{2}=0$$

Combine all terms containing m.

$$\left(x-8064\right)m^{2}=0$$

Dividing by -8064+x undoes the multiplication by -8064+x.

$$m^{2}=\frac{0}{x-8064}$$

Divide 0 by -8064+x.

$$m^{2}=0$$

Take the square root of both sides of the equation.

$$m=0 m=0$$

The equation is now solved. Solutions are the same.

$$m=0$$

Steps Using the Quadratic Formula

Multiply both sides of the equation by 2.

$$xm^{2}=8064m^{2}$$

Subtract 8064m^{2} from both sides.

$$xm^{2}-8064m^{2}=0$$

Combine all terms containing m.

$$\left(x-8064\right)m^{2}=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute -8064+x for a, 0 for b, and 0 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$m=\frac{0±\sqrt{0^{2}}}{2\left(x-8064\right)}$$

Take the square root of 0^{2}.

$$m=\frac{0±0}{2\left(x-8064\right)}$$

Multiply 2 times -8064+x.

$$m=\frac{0}{2x-16128}$$

Divide 0 by -16128+2x.

$$m=0$$

Solve for x (complex solution)

$$\left\{\begin{matrix}\\x=8064\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$xm^{2}=8064m^{2}$$

The equation is in standard form.

$$m^{2}x=8064m^{2}$$

Divide both sides by m^{2}.

$$\frac{m^{2}x}{m^{2}}=\frac{8064m^{2}}{m^{2}}$$

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

$$x=\frac{8064m^{2}}{m^{2}}$$

Divide 8064m^{2} by m^{2}.

$$x=8064$$

Solve for x

$$\left\{\begin{matrix}\\x=8064\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$xm^{2}=8064m^{2}$$

The equation is in standard form.

$$m^{2}x=8064m^{2}$$

Divide both sides by m^{2}.

$$\frac{m^{2}x}{m^{2}}=\frac{8064m^{2}}{m^{2}}$$

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

$$x=\frac{8064m^{2}}{m^{2}}$$

Divide 8064m^{2} by m^{2}.

$$x=8064$$

Solve for m

$$\left\{\begin{matrix}\\m=0\text{, }&\text{unconditionally}\\m\in \mathrm{R}\text{, }&x=8064\end{matrix}\right.$$