Solve f(x)=(5x^2-x+2)(3

$$f ( x ) = ( 5 x ^ { 2 } - x + 2 ) ( 3$$

Solve for f

$$f=15x-3+\frac{6}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5x^{2}-x+2 by 3.

$$fx=15x^{2}-3x+6$$

The equation is in standard form.

$$xf=15x^{2}-3x+6$$

Divide both sides by x.

$$\frac{xf}{x}=\frac{15x^{2}-3x+6}{x}$$

Dividing by x undoes the multiplication by x.

$$f=\frac{15x^{2}-3x+6}{x}$$

Divide 15x^{2}-3x+6 by x.

$$f=15x-3+\frac{6}{x}$$

Solve for x (complex solution)

$$x=\frac{-\sqrt{f^{2}+6f-351}+f+3}{30}$$

$$x=\frac{\sqrt{f^{2}+6f-351}+f+3}{30}$$

Solve for x

$$x=\frac{-\sqrt{f^{2}+6f-351}+f+3}{30}$$

$$x=\frac{\sqrt{f^{2}+6f-351}+f+3}{30}\text{, }f\geq 6\sqrt{10}-3\text{ or }f\leq -6\sqrt{10}-3$$