Solve g_{2}(x)=0,2/1+x^4

$$g _ { 2 } ( x ) = \frac { 0,2 } { 1 + x ^ { 4 } }$$

Solve for g_2

$$g_{2}=\frac{1}{5\left(x^{5}+x\right)}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by x^{4}+1.

$$g_{2}x\left(x^{4}+1\right)=0,2$$

Use the distributive property to multiply g_{2}x by x^{4}+1.

$$g_{2}x^{5}+g_{2}x=0,2$$

Combine all terms containing g_{2}.

$$\left(x^{5}+x\right)g_{2}=0,2$$

Divide both sides by x^{5}+x.

$$\frac{\left(x^{5}+x\right)g_{2}}{x^{5}+x}=\frac{0,2}{x^{5}+x}$$

Dividing by x^{5}+x undoes the multiplication by x^{5}+x.

$$g_{2}=\frac{0,2}{x^{5}+x}$$

Divide 0,2 by x^{5}+x.

$$g_{2}=\frac{1}{5x\left(x^{4}+1\right)}$$