Solve 2kg=-quadgquad2.5

$$2 kg = - \quad g \quad 2.5$$

Solve for g (complex solution)

$$\left\{\begin{matrix}g=-\frac{g_{2}}{4k}\text{, }&k\neq 0\\g\in \mathrm{C}\text{, }&g_{2}=0\text{ and }k=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply -1 and 0.5 to get -0.5.

$$2kg=-0.5g_{2}$$

The equation is in standard form.

$$2kg=-\frac{g_{2}}{2}$$

Divide both sides by 2k.

$$\frac{2kg}{2k}=-\frac{\frac{g_{2}}{2}}{2k}$$

Dividing by 2k undoes the multiplication by 2k.

$$g=-\frac{\frac{g_{2}}{2}}{2k}$$

Divide -\frac{g_{2}}{2} by 2k.

$$g=-\frac{g_{2}}{4k}$$

Solve for g

$$\left\{\begin{matrix}g=-\frac{g_{2}}{4k}\text{, }&k\neq 0\\g\in \mathrm{R}\text{, }&g_{2}=0\text{ and }k=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply -1 and 0.5 to get -0.5.

$$2kg=-0.5g_{2}$$

The equation is in standard form.

$$2kg=-\frac{g_{2}}{2}$$

Divide both sides by 2k.

$$\frac{2kg}{2k}=-\frac{\frac{g_{2}}{2}}{2k}$$

Dividing by 2k undoes the multiplication by 2k.

$$g=-\frac{\frac{g_{2}}{2}}{2k}$$

Divide -\frac{g_{2}}{2} by 2k.

$$g=-\frac{g_{2}}{4k}$$

Solve for g_2

$$g_{2}=-4gk$$

Steps for Solving Linear Equation

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

$$\left(-g_{2}\right)\times 0.5=2kg$$

Multiply -1 and 0.5 to get -0.5.

$$-0.5g_{2}=2kg$$

The equation is in standard form.

$$-0.5g_{2}=2gk$$

Multiply both sides by -2.

$$\frac{-0.5g_{2}}{-0.5}=\frac{2gk}{-0.5}$$

Dividing by -0.5 undoes the multiplication by -0.5.

$$g_{2}=\frac{2gk}{-0.5}$$

Divide 2kg by -0.5 by multiplying 2kg by the reciprocal of -0.5.

$$g_{2}=-4gk$$