Solve 5*4ell-1/2ell-766mell=quadmell

$$5 \cdot 4 \ell - \frac { 1 } { 2 } \ell - 766 m \ell = \quad m \ell$$

Solve for m (complex solution)

$$\left\{\begin{matrix}\\m=\frac{3}{118}\approx 0.025423729\text{, }&\text{unconditionally}\\m\in \mathrm{C}\text{, }&ℓ=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply 5 and 4 to get 20.

$$20ℓ-\frac{1}{2}ℓ-766mℓ=mℓ$$

Combine 20ℓ and -\frac{1}{2}ℓ to get \frac{39}{2}ℓ.

$$\frac{39}{2}ℓ-766mℓ=mℓ$$

Subtract mℓ from both sides.

$$\frac{39}{2}ℓ-766mℓ-mℓ=0$$

Combine -766mℓ and -mℓ to get -767mℓ.

$$\frac{39}{2}ℓ-767mℓ=0$$

Subtract \frac{39}{2}ℓ from both sides. Anything subtracted from zero gives its negation.

$$-767mℓ=-\frac{39}{2}ℓ$$

The equation is in standard form.

$$\left(-767ℓ\right)m=-\frac{39ℓ}{2}$$

Divide both sides by -767ℓ.

$$\frac{\left(-767ℓ\right)m}{-767ℓ}=-\frac{\frac{39ℓ}{2}}{-767ℓ}$$

Dividing by -767ℓ undoes the multiplication by -767ℓ.

$$m=-\frac{\frac{39ℓ}{2}}{-767ℓ}$$

Divide -\frac{39ℓ}{2} by -767ℓ.

$$m=\frac{3}{118}$$

Solve for ℓ (complex solution)

$$\left\{\begin{matrix}\\ℓ=0\text{, }&\text{unconditionally}\\ℓ\in \mathrm{C}\text{, }&m=\frac{3}{118}\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply 5 and 4 to get 20.

$$20ℓ-\frac{1}{2}ℓ-766mℓ=mℓ$$

Combine 20ℓ and -\frac{1}{2}ℓ to get \frac{39}{2}ℓ.

$$\frac{39}{2}ℓ-766mℓ=mℓ$$

Subtract mℓ from both sides.

$$\frac{39}{2}ℓ-766mℓ-mℓ=0$$

Combine -766mℓ and -mℓ to get -767mℓ.

$$\frac{39}{2}ℓ-767mℓ=0$$

Combine all terms containing ℓ.

$$\left(\frac{39}{2}-767m\right)ℓ=0$$

Divide 0 by \frac{39}{2}-767m.

$$ℓ=0$$

Solve for m

$$\left\{\begin{matrix}\\m=\frac{3}{118}\approx 0.025423729\text{, }&\text{unconditionally}\\m\in \mathrm{R}\text{, }&ℓ=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply 5 and 4 to get 20.

$$20ℓ-\frac{1}{2}ℓ-766mℓ=mℓ$$

Combine 20ℓ and -\frac{1}{2}ℓ to get \frac{39}{2}ℓ.

$$\frac{39}{2}ℓ-766mℓ=mℓ$$

Subtract mℓ from both sides.

$$\frac{39}{2}ℓ-766mℓ-mℓ=0$$

Combine -766mℓ and -mℓ to get -767mℓ.

$$\frac{39}{2}ℓ-767mℓ=0$$

Subtract \frac{39}{2}ℓ from both sides. Anything subtracted from zero gives its negation.

$$-767mℓ=-\frac{39}{2}ℓ$$

The equation is in standard form.

$$\left(-767ℓ\right)m=-\frac{39ℓ}{2}$$

Divide both sides by -767ℓ.

$$\frac{\left(-767ℓ\right)m}{-767ℓ}=-\frac{\frac{39ℓ}{2}}{-767ℓ}$$

Dividing by -767ℓ undoes the multiplication by -767ℓ.

$$m=-\frac{\frac{39ℓ}{2}}{-767ℓ}$$

Divide -\frac{39ℓ}{2} by -767ℓ.

$$m=\frac{3}{118}$$

Solve for ℓ

$$\left\{\begin{matrix}\\ℓ=0\text{, }&\text{unconditionally}\\ℓ\in \mathrm{R}\text{, }&m=\frac{3}{118}\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply 5 and 4 to get 20.

$$20ℓ-\frac{1}{2}ℓ-766mℓ=mℓ$$

Combine 20ℓ and -\frac{1}{2}ℓ to get \frac{39}{2}ℓ.

$$\frac{39}{2}ℓ-766mℓ=mℓ$$

Subtract mℓ from both sides.

$$\frac{39}{2}ℓ-766mℓ-mℓ=0$$

Combine -766mℓ and -mℓ to get -767mℓ.

$$\frac{39}{2}ℓ-767mℓ=0$$

Combine all terms containing ℓ.

$$\left(\frac{39}{2}-767m\right)ℓ=0$$

Divide 0 by \frac{39}{2}-767m.

$$ℓ=0$$