Solve H^2-4kH+3H^2=0

$$H ^ { 2 } - 4 k H + 3 H ^ { 2 } = 0$$

Solve for k

$$\left\{\begin{matrix}\\k=H\text{, }&\text{unconditionally}\\k\in \mathrm{R}\text{, }&H=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Combine H^{2} and 3H^{2} to get 4H^{2}.

$$4H^{2}-4kH=0$$

Subtract 4H^{2} from both sides. Anything subtracted from zero gives its negation.

$$-4kH=-4H^{2}$$

Cancel out -4 on both sides.

$$kH=H^{2}$$

The equation is in standard form.

$$Hk=H^{2}$$

Divide both sides by H.

$$\frac{Hk}{H}=\frac{H^{2}}{H}$$

Dividing by H undoes the multiplication by H.

$$k=\frac{H^{2}}{H}$$

Divide H^{2} by H.

$$k=H$$

Solve for H

$$H=k$$

$$H=0$$