Solve hk-6=4hquad[h]

$$h k - 6 = 4 h \quad [ h ]$$

Solve for k

$$k=4h+\frac{6}{h}$$

$$h\neq 0$$

Steps for Solving Linear Equation

Multiply h and h to get h^{2}.

$$hk-6=4h^{2}$$

Add 6 to both sides.

$$hk=4h^{2}+6$$

Divide both sides by h.

$$\frac{hk}{h}=\frac{4h^{2}+6}{h}$$

Dividing by h undoes the multiplication by h.

$$k=\frac{4h^{2}+6}{h}$$

Divide 4h^{2}+6 by h.

$$k=4h+\frac{6}{h}$$

Solve for h (complex solution)

$$h=\frac{-\sqrt{k^{2}-96}+k}{8}$$

$$h=\frac{\sqrt{k^{2}-96}+k}{8}$$

Solve for h

$$h=\frac{-\sqrt{k^{2}-96}+k}{8}$$

$$h=\frac{\sqrt{k^{2}-96}+k}{8}\text{, }|k|\geq 4\sqrt{6}$$