Solve f2x^2-7x+6=0

$$f 2 x ^ { 2 } - 7 x + 6 = 0$$

Solve for f_2

$$f_{2}=-\frac{6-7x}{x^{2}}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Add 7x to both sides. Anything plus zero gives itself.

$$f_{2}x^{2}+6=7x$$

Subtract 6 from both sides.

$$f_{2}x^{2}=7x-6$$

The equation is in standard form.

$$x^{2}f_{2}=7x-6$$

Divide both sides by x^{2}.

$$\frac{x^{2}f_{2}}{x^{2}}=\frac{7x-6}{x^{2}}$$

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

$$f_{2}=\frac{7x-6}{x^{2}}$$

Solve for x (complex solution)

$$\left\{\begin{matrix}x=\frac{\sqrt{49-24f_{2}}+7}{2f_{2}}\text{; }x=\frac{-\sqrt{49-24f_{2}}+7}{2f_{2}}\text{, }&f_{2}\neq 0\\x=\frac{6}{7}\text{, }&f_{2}=0\end{matrix}\right.$$

Solve for x

$$\left\{\begin{matrix}x=\frac{\sqrt{49-24f_{2}}+7}{2f_{2}}\text{; }x=\frac{-\sqrt{49-24f_{2}}+7}{2f_{2}}\text{, }&f_{2}\neq 0\text{ and }f_{2}\leq \frac{49}{24}\\x=\frac{6}{7}\text{, }&f_{2}=0\end{matrix}\right.$$