Solve Fx=5x+1/x^3+3

$$F x = \frac { 5 x + 1 } { x ^ { 3 } + 3 }$$

Solve for F

$$F=\frac{5x+1}{x\left(x^{3}+3\right)}$$

$$x\neq -\sqrt[3]{3}\text{ and }x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by x^{3}+3.

$$Fx\left(x^{3}+3\right)=5x+1$$

Use the distributive property to multiply Fx by x^{3}+3.

$$Fx^{4}+3Fx=5x+1$$

Combine all terms containing F.

$$\left(x^{4}+3x\right)F=5x+1$$

Divide both sides by x^{4}+3x.

$$\frac{\left(x^{4}+3x\right)F}{x^{4}+3x}=\frac{5x+1}{x^{4}+3x}$$

Dividing by x^{4}+3x undoes the multiplication by x^{4}+3x.

$$F=\frac{5x+1}{x^{4}+3x}$$

Divide 5x+1 by x^{4}+3x.

$$F=\frac{5x+1}{x\left(x^{3}+3\right)}$$